## Applied Mathematics Letters

### An International Journal of Rapid Publication

 Short Title: Appl. Math. Lett. Publisher: Elsevier (Pergamon), Oxford ISSN: 0893-9659 Online: http://www.sciencedirect.com/science/journal/08939659 Comments: Indexed cover-to-cover
 Documents Indexed: 7,638 Publications (since 1988) References Indexed: 7,498 Publications with 95,555 References.
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### Authors

 68 Agarwal, Ravi P. 47 O’Regan, Donal 46 Ramm, Alexander G. 41 Srivastava, Hari Mohan 36 Jódar Sanchez, Lucas Antonio 31 Debnath, Lokenath 29 Fan, Jishan 25 Dress, Andreas W. M. 24 Noor, Muhammad Aslam 24 Zhou, Yong 23 Verma, Ram U. 22 Yao, Jen-Chih 21 Huang, Nan-Jing 19 Banks, Harvey Thomas 19 Wazwaz, Abdul-Majid Abdul-Rahman 18 Adomian, George 18 Ge, Weigao 18 Liu, Chein-Shan 18 Steel, Michael Anthony 17 Argyros, Ioannis Konstantinos 17 Dragomir, Sever Silvestru 16 Grace, Said Rezk 16 Rakotoson, Jean-Michel 16 Tang, Xianhua 16 Tian, Bo 15 Li, Wan-Tong 15 Liu, Meng 15 Savaş, Ekrem 15 Wu, Yonghong 15 Zhang, Xinguang 14 Owa, Shigeyoshi 13 Adam, John A. 13 Anastassiou, George Angelos 13 Çanak, İbrahim 13 Ding, Jiu 13 Huang, Lihong 13 Jiang, Daqing 13 Kaiser, Mark J. 13 Lee, Byung Soo 13 Yeh, Cheh-Chih 13 Zafer, Ağacık 12 Huang, Ting-Zhu 12 Kudryashov, Nikolaĭ Alekseevich 12 Liu, Lishan 12 Quintanilla de Latorre, Ramón 12 Shaikhet, Leonid Efimovich 12 Vaidyanathan, Sundarapandian 12 Wang, Mingxin 11 Ahmad, Bashir 11 Berezansky, Leonid M. 11 Cho, Yeol Je 11 Ding, Xie Ping 11 Graef, John R. 11 Kong, Lingju 11 Luo, Zhiguo 11 Ma, Wen-Xiu 11 Nieto Roig, Juan Jose 11 Papageorgiou, Nikolaos S. 11 Pituk, Mihály 11 Rach, Randolph C. 11 Shen, Jianhua 11 Shi, Dongyang 11 Temam, Roger Meyer 11 Tewarson, Reginald P. 11 Tian, Shoufu 11 Wang, Ke 11 Wong, Fu-Hsiang 10 Aouf, Mohamed Kamal 10 Bellomo, Nicola 10 Cheng, Sui Sun 10 Cortés López, Juan Carlos 10 Diblík, Josef 10 Gupta, Arjun Kumar 10 Gutman, Ivan M. 10 Henderson, Johnny Lee 10 Imomnazarov, Kholmatzhon Khudainazarovich 10 Jung, Soon-Mo 10 Lee, Gue Myung 10 Llibre, Jaume 10 Ma, Ruyun 10 Polyanin, Andrei Dmitrievich 10 Stević, Stevo 10 Torregrosa Sanchez, Juan Ramón 10 Vong, Seakweng 10 Wang, Peiguang 10 Wu, Shanhe 10 Zhang, Tiantian 10 Zhu, Mingxuan 9 Al-saedi, Ahmed Eid Salem 9 Ashrafi, Ali Reza 9 Boyd, John Philip 9 Chaplain, Mark A. J. 9 Chen, Caisheng 9 Chen, Haibo 9 Chen, Yong 9 Duan, Jinqiao 9 Fan, Engui 9 Gao, Yitian 9 Goodrich, Christopher S. 9 Gulliver, Thomas Aaron ...and 8,699 more Authors
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### Fields

 2,525 Partial differential equations (35-XX) 1,313 Ordinary differential equations (34-XX) 1,275 Numerical analysis (65-XX) 668 Fluid mechanics (76-XX) 556 Biology and other natural sciences (92-XX) 492 Operator theory (47-XX) 395 Combinatorics (05-XX) 377 Dynamical systems and ergodic theory (37-XX) 315 Operations research, mathematical programming (90-XX) 290 Probability theory and stochastic processes (60-XX) 289 Difference and functional equations (39-XX) 285 Calculus of variations and optimal control; optimization (49-XX) 284 Real functions (26-XX) 273 Systems theory; control (93-XX) 229 Mechanics of deformable solids (74-XX) 187 Linear and multilinear algebra; matrix theory (15-XX) 172 Computer science (68-XX) 169 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 168 Integral equations (45-XX) 151 Statistical mechanics, structure of matter (82-XX) 140 General topology (54-XX) 138 Approximations and expansions (41-XX) 137 Statistics (62-XX) 136 Functions of a complex variable (30-XX) 136 Special functions (33-XX) 133 Optics, electromagnetic theory (78-XX) 116 Information and communication theory, circuits (94-XX) 97 Classical thermodynamics, heat transfer (80-XX) 92 Functional analysis (46-XX) 83 Global analysis, analysis on manifolds (58-XX) 79 Quantum theory (81-XX) 74 Number theory (11-XX) 64 Sequences, series, summability (40-XX) 64 Mechanics of particles and systems (70-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 50 Geophysics (86-XX) 41 Integral transforms, operational calculus (44-XX) 32 Convex and discrete geometry (52-XX) 32 Differential geometry (53-XX) 29 Mathematical logic and foundations (03-XX) 27 Measure and integration (28-XX) 26 Potential theory (31-XX) 18 Geometry (51-XX) 11 Field theory and polynomials (12-XX) 11 Algebraic geometry (14-XX) 10 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 5 Nonassociative rings and algebras (17-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX)

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Positive solutions for a nonlinear nonlocal elliptic transmission problem. Zbl 1135.35330
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New subclasses of bi-univalent functions. Zbl 1218.30024
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Uniqueness of solution for boundary value problems for fractional differential equations. Zbl 1329.34005
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Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007
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Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Zbl 1171.26305
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A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
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Common fixed point for generalized $$(\psi ,\varphi )$$-weak contractions. Zbl 1203.54040
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Hyers-Ulam stability of linear differential equations of first order. Zbl 1061.34039
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Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. Zbl 1171.65449
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Hyers-Ulam stability of linear differential equations of first order. II. Zbl 1125.34328
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Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
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Fixed point theory for cyclic weak $$\phi$$-contraction. Zbl 1256.54073
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Coefficient estimates for a certain subclass of analytic and bi-univalent functions. Zbl 1244.30033
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Fixed point theory for generalized $$\varphi$$-weak contractions. Zbl 1163.47304
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Existence and uniqueness of a common fixed point on partial metric spaces. Zbl 1230.54032
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Some new variants of Newton’s method. Zbl 1065.65067
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On the fractional-order logistic equation. Zbl 1140.34302
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A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
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An existence result for the generalized vector equilibrium problem. Zbl 1014.49008
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Exponential stability for the Timoshenko system with two weak dampings. Zbl 1072.74033
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On pulse vaccination strategy in the SIR epidemic model with vertical transmission. Zbl 1064.92041
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Fixed point theorems for operators on partial metric spaces. Zbl 1229.54056
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On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129
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Adjacent strong edge coloring of graphs. Zbl 1008.05050
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Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Zbl 1062.65075
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2004
Fixed and periodic point results in cone metric spaces. Zbl 1167.54014
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Positive solutions for second-order three-point boundary value problems. Zbl 0989.34009
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2001
The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium. Zbl 1320.35007
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2014
General convergence analysis for two-step projection methods and applications to variational problems. Zbl 1099.47054
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2005
Three symmetric positive solutions for a second-order boundary value problem. Zbl 0961.34014
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2000
Impulsive resonance periodic problems of first order. Zbl 1022.34025
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2002
A Lyapunov function for Leslie-Gower predator-prey models. Zbl 0999.92036
Korobeinikov, A.
2001
Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Zbl 1246.30018
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2012
Remarks on some relationships between the Bernoulli and Euler polynomials. Zbl 1070.33012
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2004
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations. Zbl 1214.34007
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. Zbl 1163.76318
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2009
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
2004
Maximum principles for fractional differential equations derived from Mittag-Leffler functions. Zbl 1202.34019
Nieto, Juan J.
2010
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
Inequalities for differentiable mappings with application to special means and quadrature formulæ. Zbl 0970.26016
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2000
Extended general variational inequalities. Zbl 1163.49303
2009
$$H$$-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces. Zbl 1056.49012
Fang, Ya-Ping; Huang, Nan-Jing
2004
Existence of nontrivial solutions of a rational difference equation. Zbl 1131.39009
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2007
Fixed point and common fixed point theorems on ordered cone metric spaces. Zbl 1197.54052
Altun, Ishak; Damjanović, Boško; Djorić, Dragan
2010
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
On the recursive sequence $$x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}$$. Zbl 1152.39012
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2008
Chaos in King’s iterative family. Zbl 1370.37155
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On positive solutions of a ($$k+1$$)th order difference equation. Zbl 1095.39010
Stević, Stevo
2006
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions. Zbl 1003.65081
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2002
Positive solutions of a nonlinear $$n$$th order boundary value problem with nonlocal conditions. Zbl 1074.34022
2005
Global behavior of an SEIRS epidemic model with time delays. Zbl 1015.92033
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2002
The operational matrix of fractional integration for shifted Chebyshev polynomials. Zbl 1255.65147
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Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Zbl 1072.34022
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2004
On the uniqueness of solutions for a class of fractional differential equations. Zbl 1376.34014
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2017
Calculus of variations with fractional derivatives and fractional integrals. Zbl 1183.26005
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2009
On the representation of fractional Brownian motion as an integral with respect to $$(dt)^a$$. Zbl 1082.60029
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2005
Quasi-contraction on a cone metric space. Zbl 1179.54060
2009
Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion. Zbl 1364.35429
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2017
Slow decay for one-dimensional porous dissipation elasticity. Zbl 1040.74023
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$$S$$-asymptotically $$\omega$$-periodic solutions of semilinear fractional integro-differential equations. Zbl 1176.47035
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Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process. Zbl 1256.47044
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2011
Operator splitting methods for American option pricing. Zbl 1063.65081
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2004
A two-phase model of solid tumour growth. Zbl 1040.92015
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Iterative solution of the Lyapunov matrix equation. Zbl 0631.65037
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An existence result for a superlinear fractional differential equation. Zbl 1200.34004
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On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives. Zbl 1319.34017
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2015
Finite time stability of fractional delay differential equations. Zbl 1354.34130
Li, Mengmeng; Wang, JinRong
2017
The method of lower and upper solutions for mixed fractional four-point boundary value problem with $$p$$-Laplacian operator. Zbl 1357.34018
Liu, Xiping; Jia, Mei; Ge, Weigao
2017
A general modulus-based matrix splitting method for linear complementarity problems of $$H$$-matrices. Zbl 1311.65071
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2013
Stable periodic solutions in a discrete periodic logistic equation. Zbl 1049.39017
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2003
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
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A new extension of $$q$$-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009
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2008
A note on the equivalence of some metric and cone metric fixed point results. Zbl 1213.54067
2011
On generalizations of certain summability methods using ideals. Zbl 1223.40004
Das, Pratulananda; Savas, Ekrem; Ghosal, Sanjoy Kr.
2011
Some new extensions of Banach’s contraction principle to partial metric space. Zbl 1292.54025
2011
A 3(2) pair of Runge-Kutta formulas. Zbl 0705.65055
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Convergence of a modified Halpern-type iteration algorithm for quasi-$$\phi$$-nonexpansive mappings. Zbl 1179.65061
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2009
Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay. Zbl 1355.35196
Zhu, Bo; Liu, Lishan; Wu, Yonghong
2016
Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and for some numerical quadrature rules. Zbl 1072.26500
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1998
Critical variable exponent functionals in image restoration. Zbl 1260.94012
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2013
Hyers-Ulam stability of linear differential equations of first order. Zbl 1159.34041
Wang, Guangwa; Zhou, Mingru; Sun, Li
2008
Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. Zbl 1201.34008
Deng, Jiqin; Ma, Lifeng
2010
Laplace transform and fractional differential equations. Zbl 1238.34013
Kexue, Li; Jigen, Peng
2011
Lyapunov and Wirtinger inequalities. Zbl 1062.34005
Lee, Chung-Fen; Yeh, Cheh-Chih; Hong, Chen-Huang; Agarwal, R. P.
2004
Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations. Zbl 1244.34009
Zhang, Xinguang; Han, Yuefeng
2012
Generalized nonlinear variational inclusions with noncompact valued mappings. Zbl 0851.49009
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1996
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1988
Korovkin type approximation theorems obtained through generalized statistical convergence. Zbl 1206.40003
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2010
A generalized statistical convergence via ideals. Zbl 1220.40004
Savas, Ekrem; Das, Pratulananda
2011
Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006
Cuevas, Claudio; Lizama, Carlos
2008
The harmonic index for graphs. Zbl 1243.05126
Zhong, Lingping
2012
The oscillation of perturbed functional differential equations. Zbl 0969.34062
Agarwal, R. P.; Grace, S. R.
2000
A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading. Zbl 07443302
Qu, Wenzhen; He, Hua
2022
Analysis of a hidden memory variably distributed-order space-fractional diffusion equation. Zbl 07443282
Jia, Jinhong; Wang, Hong
2022
Solution of a fractional logistic ordinary differential equation. Zbl 1480.34011
Nieto, Juan J.
2022
Stationary distribution of a stochastic vegetation-water system with reaction-diffusion. Zbl 1472.92256
Pan, Shiliang; Zhang, Qimin; Meyer-Baese, Anke
2022
The eigenvalue problem of a singular $$k$$-Hessian equation. Zbl 1479.35590
Zhang, Xinguang; Xu, Pengtao; Wu, Yonghong
2022
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system. Zbl 07479005
Gao, Xiao-Tian; Tian, Bo
2022
Oscillation tests for difference equations with non-monotone retarded arguments. Zbl 1476.39012
Attia, Emad R.; Chatzarakis, George E.
2022
A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. Zbl 07413926
Lee, Hyun Geun
2022
Traveling wave solutions for nonlocal dispersal Fisher-KPP model with age structure. Zbl 1472.92242
Tian, Xuan; Guo, Shangjiang
2022
Pattern formation of a biomass-water reaction-diffusion model. Zbl 1476.35034
Lei, Chengxia; Zhang, Guanghui; Zhou, Jialin
2022
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 07443211
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
2022
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes. Zbl 1478.92024
Giverso, Chiara; Lorenzi, Tommaso; Preziosi, Luigi
2022
Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments. Zbl 1478.92169
Wang, Zhaojuan; Liu, Meng
2022
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. Zbl 1479.35216
Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya
2022
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna. Zbl 07443248
Layton, William; Pei, Wenlong; Trenchea, Catalin
2022
A homotopy method for solving multilinear systems with strong completely positive tensors. Zbl 07443288
Yan, Jin-Chang; Xu, Yang; Huang, Zheng-Hai
2022
Bäcklund transformation, residual symmetry and exact interaction solutions of an extended $$(2+1)$$-dimensional Korteweg-de Vries equation. Zbl 07443290
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng
2022
Some remarks on uniqueness of positive solutions to Kirchhoff type equations. Zbl 1480.35233
Wu, Ke; Zhou, Fen; Gu, Guangze
2022
Stationary distribution of a stochastic predator-prey model with hunting cooperation. Zbl 07443301
Qi, Haokun; Meng, Xinzhu; Hayat, Tasawar; Hobiny, Aatef
2022
A kernel regression approach for identification of first order differential equations based on functional data. Zbl 07478977
Li, X. Y.; Wu, B. Y.
2022
A strong maximum principle for the fractional $$( p , q )$$-Laplacian operator. Zbl 07478996
Ambrosio, Vincenzo
2022
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures. Zbl 1462.74165
Xia, Hao; Gu, Yan
2021
An element-free Galerkin method for the obstacle problem. Zbl 1454.65171
Li, Xiaolin; Dong, Haiyun
2021
A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering. Zbl 1453.78004
Li, Junpu; Zhang, Lan; Qin, Qing-Hua
2021
Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349
Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro
2021
Space-time generalized finite difference nonlinear model for solving unsteady Burgers’ equations. Zbl 1458.65110
Li, Po-Wei
2021
Influence of the fear factor on the dynamics of a stochastic predator-prey model. Zbl 1455.92125
Liu, Qun; Jiang, Daqing
2021
Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect. Zbl 1459.92091
Qi, Haokun; Meng, Xinzhu
2021
Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations. Zbl 1450.65081
Li, Xiaoxi; Wen, Jinming; Li, Dongfang
2021
On a strong minimum condition of a fractal variational principle. Zbl 07410059
He, Ji-Huan; Qie, Na; He, Chun-hui; Saeed, Tareq
2021
Localized method of fundamental solutions for 2D harmonic elastic wave problems. Zbl 1453.74043
Li, Weiwei
2021
A revisit of the energy quadratization method with a relaxation technique. Zbl 07410118
Zhao, Jia
2021
Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D. Zbl 1451.65101
Zhang, Jin; Liu, Xiaowei
2021
2.5D singular boundary method for acoustic wave propagation. Zbl 1462.76149
Wei, Xing; Luo, Wenjun
2021
Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems. Zbl 1472.93145
Tian, Yufeng; Wang, Zhanshan
2021
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Zbl 1453.35115
Winkler, Michael
2021
On an open question in recovering Sturm-Liouville-type operators with delay. Zbl 1464.34098
Djurić, Nebojša; Buterin, Sergey
2021
Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases. Zbl 07258380
Wang, Yu Ping; Zhang, Maozhu; Zhao, Wenju; Wei, Xianbiao
2021
Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain. Zbl 1453.65365
Wang, Pengde
2021
A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients. Zbl 1454.65126
Lin, Ji; Feng, Wenjie; Reutskiy, Sergiy; Xu, Haifeng; He, Yongjun
2021
The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps. Zbl 1468.60067
Ahmed, Hamdy M.; Zhu, Quanxin
2021
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. Zbl 1454.65058
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong
2021
Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics. Zbl 1453.78003
Li, Bang-Qing
2021
Fusion and fission phenomena for $$( 2 + 1 )$$-dimensional fifth-order KdV system. Zbl 1466.35320
Zhang, Zhao; Qi, Zequn; Li, Biao
2021
Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions. Zbl 1466.34005
2021
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050
Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming
2021
Reproducing kernel functions based univariate spline interpolation. Zbl 07413898
Geng, Fazhan; Wu, Xinyuan
2021
Global stability in a diffusive cholera epidemic model with nonlinear incidence. Zbl 1448.92283
Chen, Xiaodan; Cui, Renhao
2021
Boundedness analysis of stochastic pantograph differential systems. Zbl 1466.60124
Xu, Liguang; Hu, Hongxiao
2021
Dynamical bifurcation and explicit stationary density of a stochastic population model with allee effects. Zbl 1453.34071
Ji, Weiming; Zhang, Yuqian; Liu, Meng
2021
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. Zbl 1458.35371
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing
2021
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. Zbl 1458.35108
McCue, Scott W.; El-Hachem, Maud; Simpson, Matthew J.
2021
Theoretical and numerical analysis of monotonicity results for fractional difference operators. Zbl 1471.65219
Dahal, Rajendra; Goodrich, Christopher S.
2021
Artificial boundary conditions for nonlinear time fractional Burgers’ equation on unbounded domains. Zbl 07410098
Li, Hongwei; Wu, Yuchen
2021
Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation. Zbl 1475.35105
Han, Hao-Bin; Li, Hui-Jun; Dai, Chao-Qing
2021
Energy decay for damped shear beam model and new facts related to the classical Timoshenko system. Zbl 07410115
Almeida Júnior, D. S.; Ramos, A. J. A.; Freitas, M. M.
2021
Boundedness of solutions to a parabolic attraction-repulsion chemotaxis system in $$\mathbb{R}^2$$: the attractive dominant case. Zbl 1475.35061
Nagai, Toshitaka; Seki, Yukihiro; Yamada, Tetsuya
2021
Minimization principle in study of a Stokes hemivariational inequality. Zbl 07411658
Ling, Min; Han, Weimin
2021
Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method. Zbl 07411673
Lin, Ji; Yu, Hao
2021
Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation. Zbl 1479.35808
Liu, Ya-Hui; Guo, Rui; Li, Xing-Lan
2021
A fast element-free Galerkin method for the fractional diffusion-wave equation. Zbl 07413900
Li, Xiaolin; Li, Shuling
2021
Exact minimum speed of traveling waves in a Keller-Segel model. Zbl 1448.92035
Bramburger, Jason J.
2021
Ghost point method using RBFs and polynomial basis functions. Zbl 1450.65010
Ma, Zhiying; Li, Xinxiang; Chen, C. S.
2021
Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and $$N$$ solitons for a generalized $$(3+1)$$-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. Zbl 1455.35248
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yuan, Yu-Qiang; Zhang, Chen-Rong; Chen, Su-Su
2021
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations. Zbl 1448.78051
Wang, Qin; Li, Hongliang; Zhang, Linbo; Lu, Benzhuo
2021
$$N$$th-order rogue waves for the $$AB$$ system via the determinants. Zbl 1448.86007
Su, Jing-Jing; Zhang, Sheng
2021
A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs. Zbl 1458.65101
Sun, Hongbo; Mei, Liangcai; Lin, Yingzhen
2021
Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation. Zbl 1459.15016
Hashemi, Behnam
2021
Iterative properties of solution for a general singular $$n$$-Hessian equation with decreasing nonlinearity. Zbl 1472.65066
Zhang, Xinguang; Jiang, Jiqiang; Wu, Yonghong; Wiwatanapataphee, Benchawan
2021
Second order difference schemes for time-fractional KdV-Burgers’ equation with initial singularity. Zbl 1453.65210
Cen, Dakang; Wang, Zhibo; Mo, Yan
2021
An averaging result for impulsive fractional neutral stochastic differential equations. Zbl 1460.34095
Liu, Jiankang; Xu, Wei
2021
Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation. Zbl 1460.35153
Feng, Binhua; Cao, Leijin; Liu, Jiayin
2021
On $$L^p$$-strong convergence of an averaging principle for non-Lipschitz slow-fast systems with Lévy noise. Zbl 1477.60093
Xu, Yong; Yue, Hongge; Wu, Jiang-Lun
2021
A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain. Zbl 1468.65172
Du, Hong; Chen, Zhong; Yang, Tiejun
2021
High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity. Zbl 1462.35444
Liang, Sihua; Pu, Hongling; Rădulescu, Vicenţiu D.
2021
Existence of a radial solution to a 1-Laplacian problem in $$\mathbb{R}^N$$. Zbl 1479.35500
Zhou, Fen; Shen, Zifei
2021
Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch. Zbl 1478.92254
Yang, Jingen; Yuan, Sanling
2021
Asymptotic behaviors of forced waves for the lattice Lotka-Volterra competition system with shifting habitats. Zbl 07410042
Qiao, Shao-Xia; Zhu, Jing-Lei; Wang, Jia-Bing
2021
A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen-Cahn equations. Zbl 07410047
Feng, Jundong; Zhou, Yingcong; Hou, Tianliang
2021
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber. Zbl 1478.78067
Wang, Meng; Tian, Bo; Hu, Cong-Cong; Liu, Shao-Hua
2021
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system. Zbl 1478.78057
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
2021
$$N$$-soliton solutions and dynamic property analysis of a generalized three-component Hirota-Satsuma coupled KdV equation. Zbl 1475.35111
Sun, Yong-Li; Ma, Wen-Xiu; Yu, Jian-Ping
2021
Near-algebraic Tchakaloff-like quadrature on spherical triangles. Zbl 07410101
Sommariva, A.; Vianello, M.
2021
Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1479.35809
Luo, Jinghua; Fan, Engui
2021
Three positive solutions for Kirchhoff problems with steep potential well and concave-convex nonlinearities. Zbl 1479.35380
Che, Guofeng; Wu, Tsung-fang
2021
Global existence and uniqueness of a periodic wave solution of the generalized Burgers-Fisher equation. Zbl 1475.35103
Zhang, Huiyang; Xia, Yonghui; N&rsquo;gbo, Paul-Rene
2021
Dark soliton solutions for a coupled nonlinear Schrödinger system. Zbl 1479.35830
Zhao, Xue-Hui
2021
Threshold behavior in a stochastic SVIR model with general incidence rates. Zbl 1472.92245
Zhang, Xinhong; Yang, Qing
2021
Global dynamics of a controlled discontinuous diffusive SIR epidemic system. Zbl 1479.35890
Li, Wenjie; Ji, Jinchen; Huang, Lihong; Guo, Zhenyuan
2021
Doubly localized rogue waves on a background of dark solitons for the Fokas system. Zbl 1475.35109
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru
2021
Bilinear auto-Bäcklund transformations and soliton solutions of a $$(3+1)$$-dimensional generalized nonlinear evolution equation for the shallow water waves. Zbl 1476.35082
Shen, Yuan; Tian, Bo
2021
Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials. Zbl 1476.35335
Qiu, Lin; Zhang, Minghui; Qin, Qing-Hua
2021
Boundedness analysis of neutral stochastic differential systems with mixed delays. Zbl 1480.34106
Xu, Liguang; Suo, JingJing; Zhou, Jing; Hu, Hongxiao
2021
A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients. Zbl 1481.60114
Luo, Danfeng; Zhu, Quanxin; Luo, Zhiguo
2021
$$M$$-lump and hybrid solutions of a generalized $$(2+1)$$-dimensional Hirota-Satsuma-Ito equation. Zbl 1450.35116
Zhao, Zhonglong; He, Lingchao
2021
Travelling waves in a free boundary mechanobiological model of an epithelial tissue. Zbl 1450.35110
Murphy, R. J.; Buenzli, P. R.; Baker, R. E.; Simpson, M. J.
2021
A complete classification of initial energy in a $$p ( x )$$-Laplace pseudo-parabolic equation. Zbl 1450.35151
Sun, Xizheng; Liu, Bingchen
2021
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. Zbl 1451.35201
Wang, Li; Yan, Zhenya
2021
Pattern formation in predator prey systems with consuming resource and prey-taxis. Zbl 1450.35060
Wang, Guoshuang; Wang, Jinfeng
2021
Oscillation of higher order functional differential equations with an advanced argument. Zbl 07258421
Graef, John R.
2021
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### Cited by 34,287 Authors

 267 Agarwal, Ravi P. 200 O’Regan, Donal 187 Noor, Muhammad Aslam 175 Srivastava, Hari Mohan 158 Băleanu, Dumitru I. 143 Al-saedi, Ahmed Eid Salem 136 Ahmad, Bashir 132 Liu, Lishan 130 Argyros, Ioannis Konstantinos 124 Karapınar, Erdal 123 Ge, Weigao 123 Nieto Roig, Juan Jose 121 Wu, Yonghong 113 Stević, Stevo 110 Kumam, Poom 107 Wang, Jinrong 104 Cho, Yeol Je 104 Simos, Theodore E. 103 Huang, Nan-Jing 96 Ding, Xie Ping 94 Dehghan Takht Fooladi, Mehdi 91 Chu, Yuming 91 Dragomir, Sever Silvestru 89 Jiang, Daqing 88 Hayat, Tasawar 88 Ntouyas, Sotiris K. 88 Quintanilla de Latorre, Ramón 87 Kang, Shin Min 86 Mu, Chunlai 86 Tang, Xianhua 84 Radenovic, Stojan 82 Yao, Jen-Chih 75 Noor, Khalida Inayat 75 Samet, Bessem 73 Park, Choonkil 73 Shah, Kamal 72 Ding, Feng 71 Graef, John R. 71 Torregrosa Sanchez, Juan Ramón 70 Abbas, Mujahid 70 Li, Tongxing 70 Zhou, Yong 68 Cao, Jinde 68 Ma, Ruyun 68 Mursaleen, Mohammad 68 Teng, Zhi-dong 67 Cordero, Alicia 67 Ramm, Alexander G. 65 Zhang, Xinguang 64 Chen, Haibo 64 Messaoudi, Salim A. 63 Grace, Said Rezk 62 Abdeljawad, Thabet 62 Chen, Fengde 61 Ma, Changfeng 60 Kiliçman, Adem 60 Sintunavarat, Wutiphol 58 Cui, Yujun 58 Meng, Xinzhu 57 Bhrawy, Ali Hassan 56 Aydi, Hassen Mohamed 56 Fan, Jishan 56 Goodrich, Christopher S. 56 Li, Wan-Tong 53 Henderson, Johnny Lee 53 Liu, Yuji 52 Li, Yongkun 52 Nashine, Hemant Kumar 52 Torres, Delfim Fernando Marado 51 Zhou, Jun 50 Huang, Ting-Zhu 50 Liu, Zeqing 49 Hussain, Nawab 49 Kudryashov, Nikolaĭ Alekseevich 48 Llibre, Jaume 48 Ma, Wen-Xiu 47 Jódar Sanchez, Lucas Antonio 47 Kadelburg, Zoran 47 Sun, Shurong 47 Verma, Ram U. 47 Wang, Guotao 46 Balachandran, Krishnan 46 Li, Yongxiang 46 Meng, Fanwei 46 Wazwaz, Abdul-Majid Abdul-Rahman 46 Zhai, Chengbo 46 Zhou, Yong 45 Bohner, Martin J. 45 Huang, Lihong 45 Qin, Xiaolong 44 Zhang, Jihui 43 Alotaibi, Abdullah M. 43 Benchohra, Mouffak 43 de la Sen, Manuel 43 Liu, Chein-Shan 43 Liu, Meng 42 Diblík, Josef 42 Han, Zhenlai 42 Kong, Lingju 42 Liu, Zhenhai ...and 34,187 more Authors
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### Cited in 1,026 Journals

 2,403 Applied Mathematics and Computation 2,323 Applied Mathematics Letters 1,355 Computers & Mathematics with Applications 1,200 Journal of Mathematical Analysis and Applications 1,149 Advances in Difference Equations 953 Abstract and Applied Analysis 857 Journal of Computational and Applied Mathematics 852 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 711 Journal of Inequalities and Applications 541 Boundary Value Problems 468 Fixed Point Theory and Applications 456 Mathematical and Computer Modelling 396 Discrete Dynamics in Nature and Society 384 Journal of Differential Equations 381 Journal of Applied Mathematics and Computing 375 Nonlinear Analysis. Real World Applications 338 Mathematical Problems in Engineering 336 Journal of Function Spaces 330 Mathematical Methods in the Applied Sciences 328 Communications in Nonlinear Science and Numerical Simulation 320 Chaos, Solitons and Fractals 316 Discrete Applied Mathematics 306 Nonlinear Dynamics 300 International Journal of Computer Mathematics 298 Applied Numerical Mathematics 293 Applicable Analysis 281 Linear Algebra and its Applications 279 Numerical Algorithms 276 Computational and Applied Mathematics 259 Journal of Applied Mathematics 237 Journal of Difference Equations and Applications 236 Journal of Computational Physics 235 Journal of the Franklin Institute 233 Journal of Optimization Theory and Applications 231 Applied Mathematical Modelling 227 Mediterranean Journal of Mathematics 225 ZAMP. Zeitschrift für angewandte Mathematik und Physik 224 AIMS Mathematics 207 Discrete and Continuous Dynamical Systems. Series B 198 Journal of Mathematical Physics 197 Journal of Mathematical Chemistry 191 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 183 Discrete Mathematics 183 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 176 Journal of Nonlinear Science and Applications 171 Mathematics and Computers in Simulation 163 Engineering Analysis with Boundary Elements 163 Advances in Mathematical Physics 153 Numerical Functional Analysis and Optimization 153 Journal of Scientific Computing 146 Acta Applicandae Mathematicae 144 Journal of Applied Analysis and Computation 143 Complexity 142 Filomat 139 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 138 Computer Methods in Applied Mechanics and Engineering 133 Afrika Matematika 131 Communications on Pure and Applied Analysis 130 Journal of Mathematics 128 Fuzzy Sets and Systems 128 Results in Mathematics 128 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 128 International Journal of Applied and Computational Mathematics 117 International Journal of Biomathematics 112 Fractional Calculus & Applied Analysis 111 Acta Mathematicae Applicatae Sinica. English Series 110 Theoretical Computer Science 109 Open Mathematics 108 Discrete and Continuous Dynamical Systems 108 Journal of Fixed Point Theory and Applications 105 Information Sciences 105 Physica D 104 Journal of Mathematical Biology 102 Acta Mathematica Sinica. English Series 98 International Journal of Mathematics and Mathematical Sciences 98 Journal of Global Optimization 97 Nonlinear Analysis. Modelling and Control 96 Rocky Mountain Journal of Mathematics 95 Bulletin of Mathematical Biology 93 European Journal of Operational Research 92 Linear and Multilinear Algebra 92 Physica A 92 Qualitative Theory of Dynamical Systems 92 Mathematical Biosciences and Engineering 89 Differential Equations and Dynamical Systems 88 Journal of the Egyptian Mathematical Society 86 Journal of Theoretical Biology 84 Optimization 84 Discrete and Continuous Dynamical Systems. Series S 84 International Journal of Differential Equations 82 Asian-European Journal of Mathematics 80 Mathematical Biosciences 80 Nonlinear Analysis. Hybrid Systems 80 Mathematical Sciences 79 Automatica 78 Mathematica Slovaca 77 International Journal of Control 73 Turkish Journal of Mathematics 73 Optimization Letters 72 Proceedings of the American Mathematical Society ...and 926 more Journals
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### Cited in 63 Fields

 10,355 Partial differential equations (35-XX) 8,913 Ordinary differential equations (34-XX) 7,888 Numerical analysis (65-XX) 4,493 Operator theory (47-XX) 4,068 Biology and other natural sciences (92-XX) 2,693 Fluid mechanics (76-XX) 2,507 Real functions (26-XX) 2,212 Combinatorics (05-XX) 2,119 Systems theory; control (93-XX) 2,107 Difference and functional equations (39-XX) 1,986 Dynamical systems and ergodic theory (37-XX) 1,794 Calculus of variations and optimal control; optimization (49-XX) 1,711 Operations research, mathematical programming (90-XX) 1,521 Probability theory and stochastic processes (60-XX) 1,348 General topology (54-XX) 1,282 Mechanics of deformable solids (74-XX) 1,257 Integral equations (45-XX) 1,114 Linear and multilinear algebra; matrix theory (15-XX) 967 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 842 Approximations and expansions (41-XX) 823 Computer science (68-XX) 815 Special functions (33-XX) 813 Functions of a complex variable (30-XX) 727 Statistical mechanics, structure of matter (82-XX) 701 Functional analysis (46-XX) 544 Number theory (11-XX) 520 Statistics (62-XX) 472 Information and communication theory, circuits (94-XX) 457 Global analysis, analysis on manifolds (58-XX) 455 Sequences, series, summability (40-XX) 389 Quantum theory (81-XX) 376 Harmonic analysis on Euclidean spaces (42-XX) 368 Classical thermodynamics, heat transfer (80-XX) 329 Optics, electromagnetic theory (78-XX) 283 Mechanics of particles and systems (70-XX) 219 Integral transforms, operational calculus (44-XX) 191 Measure and integration (28-XX) 160 Differential geometry (53-XX) 151 Geophysics (86-XX) 125 Convex and discrete geometry (52-XX) 110 Mathematical logic and foundations (03-XX) 85 Potential theory (31-XX) 66 Abstract harmonic analysis (43-XX) 66 Relativity and gravitational theory (83-XX) 64 Associative rings and algebras (16-XX) 58 Algebraic geometry (14-XX) 52 Order, lattices, ordered algebraic structures (06-XX) 49 General and overarching topics; collections (00-XX) 48 Geometry (51-XX) 47 Field theory and polynomials (12-XX) 44 Topological groups, Lie groups (22-XX) 42 Nonassociative rings and algebras (17-XX) 39 Group theory and generalizations (20-XX) 38 Commutative algebra (13-XX) 36 Algebraic topology (55-XX) 28 Several complex variables and analytic spaces (32-XX) 26 Astronomy and astrophysics (85-XX) 17 Manifolds and cell complexes (57-XX) 15 History and biography (01-XX) 11 Mathematics education (97-XX) 4 Category theory; homological algebra (18-XX) 3 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)