# zbMATH — the first resource for mathematics

## 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: 7,236 Publications (since 1988) References Indexed: 7,096 Publications with 88,532 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 27 Fan, Jishan 25 Dress, Andreas W. M. 24 Noor, Muhammad Aslam 23 Verma, Ram U. 22 Yao, Jen-Chih 22 Zhou, Yong 21 Huang, Nan-Jing 19 Banks, Harvey Thomas 19 Wazwaz, Abdul-Majid Abdul-Rahman 18 Adomian, George 18 Ge, Weigao 18 Steel, Michael Anthony 17 Argyros, Ioannis Konstantinos 17 Dragomir, Sever Silvestru 17 Liu, Chein-Shan 16 Grace, Said Rezk 16 Rakotoson, Jean-Michel 15 Savaş, Ekrem 15 Tang, Xianhua 14 Li, Wan-Tong 14 Liu, Meng 14 Owa, Shigeyoshi 14 Wu, Yonghong 14 Zhang, Xinguang 13 Adam, John A. 13 Anastassiou, George Angelos 13 Çanak, İbrahim 13 Ding, Jiu 13 Kaiser, Mark J. 13 Lee, Byung Soo 13 Tian, Bo 13 Yeh, Cheh-Chih 13 Zafer, Ağacık 12 Huang, Lihong 12 Huang, Ting-Zhu 12 Liu, Lishan 12 Quintanilla de Latorre, Ramón 12 Vaidyanathan, Sundarapandian 12 Wang, Mingxin 11 Ahmad, Bashir 11 Cho, Yeol Je 11 Ding, Xie Ping 11 Graef, John R. 11 Jiang, Daqing 11 Kudryashov, Nikolaĭ Alekseevich 11 Rach, Randolph C. 11 Shaikhet, Leonid Efimovich 11 Shen, Jianhua 11 Temam, Roger Meyer 11 Tewarson, Reginald P. 11 Wang, Ke 11 Wong, Fu-Hsiang 10 Aouf, Mohamed Kamal 10 Bellomo, Nicola 10 Berezansky, Leonid M. 10 Cheng, Sui Sun 10 Gupta, Arjun Kumar 10 Gutman, Ivan M. 10 Henderson, Johnny Lee 10 Imomnazarov, Kholmatzhon Khudainazarovich 10 Jung, Soon-Mo 10 Kong, Lingju 10 Lee, Gue Myung 10 Llibre, Jaume 10 Luo, Zhiguo 10 Nieto Roig, Juan Jose 10 Papageorgiou, Nikolaos S. 10 Pituk, Mihály 10 Shi, Dongyang 10 Stević, Stevo 10 Vong, Seakweng 10 Wang, Peiguang 10 Wu, Shanhe 9 Ashrafi, Ali Reza 9 Boyd, John Philip 9 Chaplain, Mark A. J. 9 Chen, Haibo 9 Cortés López, Juan Carlos 9 Duan, Jinqiao 9 Gao, Yitian 9 Goodrich, Christopher S. 9 Gulliver, Thomas Aaron 9 Kang, Dongsheng 9 Lachowicz, Mirosław 9 Li, Tongxing 9 Liu, Bingwen 9 Ma, Ruyun 9 Ma, Wen-Xiu 9 Muñoz Rivera, Jaime Edilberto 9 Patterson, Richard F. 9 Polyanin, Andrei D. 9 Rădulescu, Vicenţiu D. 9 Tai, Zhixin 9 Thavaneswaran, Aerambamoorthy ...and 8,213 more Authors
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#### Fields

 2,319 Partial differential equations (35-XX) 1,262 Ordinary differential equations (34-XX) 1,173 Numerical analysis (65-XX) 600 Fluid mechanics (76-XX) 505 Biology and other natural sciences (92-XX) 482 Operator theory (47-XX) 395 Combinatorics (05-XX) 348 Dynamical systems and ergodic theory (37-XX) 306 Operations research, mathematical programming (90-XX) 282 Calculus of variations and optimal control; optimization (49-XX) 277 Probability theory and stochastic processes (60-XX) 276 Difference and functional equations (39-XX) 269 Real functions (26-XX) 265 Systems theory; control (93-XX) 214 Mechanics of deformable solids (74-XX) 178 Linear and multilinear algebra; matrix theory (15-XX) 163 Integral equations (45-XX) 163 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 160 Computer science (68-XX) 140 General topology (54-XX) 139 Statistical mechanics, structure of matter (82-XX) 136 Functions of a complex variable (30-XX) 136 Statistics (62-XX) 134 Approximations and expansions (41-XX) 133 Special functions (33-XX) 121 Optics, electromagnetic theory (78-XX) 115 Information and communication theory, circuits (94-XX) 93 Classical thermodynamics, heat transfer (80-XX) 91 Functional analysis (46-XX) 83 Global analysis, analysis on manifolds (58-XX) 75 Number theory (11-XX) 64 Sequences, series, summability (40-XX) 63 Mechanics of particles and systems (70-XX) 60 Harmonic analysis on Euclidean spaces (42-XX) 59 Quantum theory (81-XX) 47 Geophysics (86-XX) 39 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 Astronomy and astrophysics (85-XX) 9 Relativity and gravitational theory (83-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) 3 Manifolds and cell complexes (57-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX)

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5,638 Publications have been cited 48,993 times in 35,416 Documents Cited by Year
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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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Common fixed point for generalized $$(\psi ,\varphi )$$-weak contractions. Zbl 1203.54040
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A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
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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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An existence result for the generalized vector equilibrium problem. Zbl 1014.49008
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Existence and uniqueness of a common fixed point on partial metric spaces. Zbl 1230.54032
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Fixed point theory for generalized $$\varphi$$-weak contractions. Zbl 1163.47304
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Coefficient estimates for a certain subclass of analytic and bi-univalent functions. Zbl 1244.30033
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On pulse vaccination strategy in the SIR epidemic model with vertical transmission. Zbl 1064.92041
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Hyers-Ulam stability of linear differential equations of first order. Zbl 1061.34039
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Hyers-Ulam stability of linear differential equations of first order. II. Zbl 1125.34328
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Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Zbl 1062.65075
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Positive solutions for second-order three-point boundary value problems. Zbl 0989.34009
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Some new variants of Newton’s method. Zbl 1065.65067
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Three symmetric positive solutions for a second-order boundary value problem. Zbl 0961.34014
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Fixed point theorems for operators on partial metric spaces. Zbl 1229.54056
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2011
Impulsive resonance periodic problems of first order. Zbl 1022.34025
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2002
On the fractional-order logistic equation. Zbl 1140.34302
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2007
General convergence analysis for two-step projection methods and applications to variational problems. Zbl 1099.47054
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2005
Fixed and periodic point results in cone metric spaces. Zbl 1167.54014
2009
Adjacent strong edge coloring of graphs. Zbl 1008.05050
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2002
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
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Exponential stability for the Timoshenko system with two weak dampings. Zbl 1072.74033
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Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
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2004
A Lyapunov function for Leslie-Gower predator-prey models. Zbl 0999.92036
Korobeinikov, A.
2001
$$H$$-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
Remarks on some relationships between the Bernoulli and Euler polynomials. Zbl 1070.33012
Srivastava, H. M.; Pintér, Á.
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
The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium. Zbl 1320.35007
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
2014
Extended general variational inequalities. Zbl 1163.49303
2009
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
Chaos in King’s iterative family. Zbl 1370.37155
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2013
On positive solutions of a ($$k+1$$)th order difference equation. Zbl 1095.39010
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2006
Maximum principles for fractional differential equations derived from Mittag-Leffler functions. Zbl 1202.34019
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2010
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
On the recursive sequence $$x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}$$. Zbl 1152.39012
Stević, Stevo
2008
Fixed point and common fixed point theorems on ordered cone metric spaces. Zbl 1197.54052
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2010
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions. Zbl 1003.65081
Simos, T. E.
2002
Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Zbl 1246.30018
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2012
Positive solutions of a nonlinear $$n$$th order boundary value problem with nonlocal conditions. Zbl 1074.34022
2005
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
Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Zbl 1072.34022
Yao, Qingliu
2004
Calculus of variations with fractional derivatives and fractional integrals. Zbl 1183.26005
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2009
Global behavior of an SEIRS epidemic model with time delays. Zbl 1015.92033
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2002
Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process. Zbl 1256.47044
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2011
On the representation of fractional Brownian motion as an integral with respect to $$(dt)^a$$. Zbl 1082.60029
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2005
$$S$$-asymptotically $$\omega$$-periodic solutions of semilinear fractional integro-differential equations. Zbl 1176.47035
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2009
Quasi-contraction on a cone metric space. Zbl 1179.54060
2009
Stable periodic solutions in a discrete periodic logistic equation. Zbl 1049.39017
Zhou, Zhan; Zou, Xingfu
2003
The operational matrix of fractional integration for shifted Chebyshev polynomials. Zbl 1255.65147
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2013
Convergence of a modified Halpern-type iteration algorithm for quasi-$$\phi$$-nonexpansive mappings. Zbl 1179.65061
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2009
Iterative solution of the Lyapunov matrix equation. Zbl 0631.65037
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Inequalities for differentiable mappings with application to special means and quadrature formulæ. Zbl 0970.26016
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2000
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
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2010
A two-phase model of solid tumour growth. Zbl 1040.92015
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Some new extensions of Banach’s contraction principle to partial metric space. Zbl 1292.54025
2011
Slow decay for one-dimensional porous dissipation elasticity. Zbl 1040.74023
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A note on the equivalence of some metric and cone metric fixed point results. Zbl 1213.54067
2011
The oscillation of perturbed functional differential equations. Zbl 0969.34062
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2000
Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006
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2008
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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Operator splitting methods for American option pricing. Zbl 1063.65081
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2004
Parameter estimation for Hammerstein CARARMA systems based on the Newton iteration. Zbl 1255.65119
Li, Junhong
2013
On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives. Zbl 1319.34017
Wang, JinRong; Zhang, Yuruo
2015
Critical variable exponent functionals in image restoration. Zbl 1260.94012
Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.
2013
Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method. Zbl 1159.34347
Wang, Qing; Liu, Xinzhi
2007
Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles. Zbl 0903.65082
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1996
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
On the uniqueness of solutions for a class of fractional differential equations. Zbl 1376.34014
Zou, Yumei; He, Guoping
2017
On generalizations of certain summability methods using ideals. Zbl 1223.40004
Das, Pratulananda; Savas, Ekrem; Ghosal, Sanjoy Kr.
2011
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
Finite time stability of fractional delay differential equations. Zbl 1354.34130
Li, Mengmeng; Wang, JinRong
2017
Quasi variational inequalities. Zbl 0708.49015
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Sensitivity analysis for strongly nonlinear quasi-variational inclusions. Zbl 0960.47035
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2000
Lyapunov and Wirtinger inequalities. Zbl 1062.34005
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2004
The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. Zbl 0941.65073
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1999
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Zbl 1046.65076
Mohanty, R. K.
2004
Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations. Zbl 1198.34007
2010
Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion. Zbl 1364.35429
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong; Wiwatanapataphee, B.
2017
A note on the equations of a thermoelastic plate. Zbl 0826.35048
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1995
A priori bounds for periodic solutions of a delay Rayleigh equation. Zbl 0980.34068
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1999
An element-free Galerkin method for the obstacle problem. Zbl 1454.65171
Li, Xiaolin; Dong, Haiyun
2021
Space-time generalized finite difference nonlinear model for solving unsteady Burgers’ equations. Zbl 1458.65110
Li, Po-Wei
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
A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering. Zbl 1453.78004
Li, Junpu; Zhang, Lan; Qin, Qing-Hua
2021
Localized method of fundamental solutions for 2D harmonic elastic wave problems. Zbl 1453.74043
Li, Weiwei
2021
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Zbl 1453.35115
Winkler, Michael
2021
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures. Zbl 1462.74165
Xia, Hao; Gu, Yan
2021
Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases. Zbl 07258380
Wang, Yu Ping; Zhang, Maozhu; Zhao, Wenju; Wei, Xianbiao
2021
Exact minimum speed of traveling waves in a Keller-Segel model. Zbl 1448.92035
Bramburger, Jason J.
2021
$$M$$-lump and hybrid solutions of a generalized $$(2+1)$$-dimensional Hirota-Satsuma-Ito equation. Zbl 1450.35116
Zhao, Zhonglong; He, Lingchao
2021
Ghost point method using RBFs and polynomial basis functions. Zbl 1450.65010
Ma, Zhiying; Li, Xinxiang; Chen, C. S.
2021
Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations. Zbl 1450.65081
Li, Xiaoxi; Wen, Jinming; Li, Dongfang
2021
Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux. Zbl 1453.35113
Dong, Ying; Peng, Yingping
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
Influence of the fear factor on the dynamics of a stochastic predator-prey model. Zbl 1455.92125
Liu, Qun; Jiang, Daqing
2021
2.5D singular boundary method for acoustic wave propagation. Zbl 1462.76149
Wei, Xing; Luo, Wenjun
2021
Fusion and fission phenomena for $$( 2 + 1 )$$-dimensional fifth-order KdV system. Zbl 1466.35320
Zhang, Zhao; Qi, Zequn; Li, Biao
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
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
Exact solutions and Hyers-Ulam stability for fractional oscillation equations with pure delay. Zbl 07281283
Liu, Li; Dong, Qixiang; Li, Gang
2021
Maximum principle thanks to interplay between coefficients in some Dirichlet problems. Zbl 1453.35035
Arcoya, David; Boccardo, Lucio
2021
Mixed stochastic differential equations: averaging principle result. Zbl 07281288
Han, Min; Xu, Yong; Pei, Bin
2021
Infinite growth of solutions of second order complex differential equations with entire coefficient having dynamical property. Zbl 07281290
Zhang, Guowei; Yang, Lianzhong
2021
The study of exact and numerical solutions of the generalized viscous Burgers’ equation. Zbl 1453.65240
Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong
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
The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps. Zbl 07281305
Ahmed, Hamdy M.; Zhu, Quanxin
2021
Coupling of model order reduction and multirate techniques for coupled dynamical systems. Zbl 1462.34066
Bannenberg, M. W. F. M.; Ciccazzo, A.; Günther, M.
2021
The multiplication of distributions in the one-dimensional Eulerian droplet model. Zbl 1454.35270
Shen, Chun
2021
Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement. Zbl 1453.35198
Wei, T.; Yan, X. B.
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 07281336
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
On the numerical computation of bivariate Lagrange polynomials. Zbl 07281341
Dell&rsquo;Accio, Francesco; Di Tommaso, Filomena; Siar, Najoua
2021
On the positivity of an auxiliary function of the BGK model for slow chemical reactions. Zbl 1457.80012
Kim, Doheon; Lee, Myeong-Su; Yun, Seok-Bae
2021
On an open question in recovering Sturm-Liouville-type operators with delay. Zbl 1464.34098
Djurić, Nebojša; Buterin, Sergey
2021
On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. Zbl 1458.65099
Chen, Hongbin; Sheng, Changtao; Wang, Li-Lian
2021
An averaging result for impulsive fractional neutral stochastic differential equations. Zbl 1460.34095
Liu, Jiankang; Xu, Wei
2021
New conditions to avoid collisions in the discrete Cucker-Smale model with singular interactions. Zbl 1457.93014
Ru, Lining; Liu, Yicheng; Wang, Xiao
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
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. Zbl 1466.65088
Zlotnik, Alexander; Čiegis, Raimondas
2021
Convergence analysis of Richardson extrapolation for a quasilinear singularly perturbed problem with an integral boundary condition on an adaptive grid. Zbl 1466.65070
Liu, Li-Bin; Yang, Xiu
2021
An efficient FDTD algorithm for 2D/3D time fractional Maxwell’s system. Zbl 07339715
Bai, Xixian; Rui, Hongxing
2021
Point and contact equivalence groupoids of two-dimensional quasilinear hyperbolic equations. Zbl 1462.35021
Popovych, Roman O.
2021
The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach. Zbl 1430.35095
Zhang, Xinguang; Jiang, Jiqiang; Wu, Yonghong; Cui, Yujun
2020
A complex variable boundary element-free method for the Helmholtz equation using regularized combined field integral equations. Zbl 1427.65395
Chen, Linchong; Li, Xiaolin
2020
Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme. Zbl 1437.65211
Lin, Ji; Xu, Yi; Zhang, Yuhui
2020
Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior. Zbl 1448.35459
Xu, Hao-Nan; Ruan, Wei-Yong; Zhang, Yu; Lü, Xing
2020
New results on stability of Nicholson’s blowflies equation with multiple pairs of time-varying delays. Zbl 1427.93207
Long, Xin; Gong, Shuhua
2020
The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general $$k$$-Hessian equations. Zbl 1440.35018
Zhang, Xinguang; Xu, Jiafa; Jiang, Jiqiang; Wu, Yonghong; Cui, Yujun
2020
Stochastic averaging for stochastic differential equations driven by fractional Brownian motion and standard Brownian motion. Zbl 1433.60040
Pei, Bin; Xu, Yong; Wu, Jiang-Lun
2020
Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains. Zbl 07187429
Wang, Fajie; Wang, Chao; Chen, Zengtao
2020
A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials. Zbl 1444.74053
Wang, Yuanyuan; Gu, Yan; Liu, Jianlin
2020
A spatial-temporal GFDM with an additional condition for transient heat conduction analysis of FGMs. Zbl 1452.80005
Qu, Wenzhen; He, Hua
2020
Exact solutions and numerical study of time fractional Burgers’ equations. Zbl 1427.35330
Li, Lili; Li, Dongfang
2020
Stability and Hopf bifurcation in a Hutchinson model. Zbl 1428.35034
Li, Shangzhi; Guo, Shangjiang
2020
Soliton molecules in Sharma-Tasso-Olver-Burgers equation. Zbl 1437.35149
Yan, Zhaowen; Lou, Senyue
2020
Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030
Li, Ruomeng; Geng, Xianguo
2020
A novel RBF collocation method using fictitious centres. Zbl 1464.65198
Chen, C. S.; Karageorghis, Andreas; Dou, Fangfang
2020
Singular boundary method for 2D and 3D heat source reconstruction. Zbl 1440.35049
Wei, Xing; Huang, Ai; Sun, Linlin
2020
Standing waves of nonlinear fractional $$p$$-Laplacian Schrödinger equation involving logarithmic nonlinearity. Zbl 1440.35315
Zhang, Lihong; Hou, Wenwen
2020
Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations. Zbl 1440.35307
Ma, Wen-Xiu
2020
On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term. Zbl 1445.34107
Bazighifan, Omar; Ramos, Higinio
2020
An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation. Zbl 1440.65087
Fu, Yayun; Cai, Wenjun; Wang, Yushun
2020
Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations. Zbl 1425.37047
Zhao, Caidi; Song, Zhongchun; Caraballo, Tomás
2020
A new C-eigenvalue interval for piezoelectric-type tensors. Zbl 07134510
Wang, Wenjie; Chen, Haibin; Wang, Yiju
2020
A reproducing kernel method for solving heat conduction equations with delay. Zbl 1427.65296
Niu, Jing; Sun, Lixia; Xu, Minqiang; Hou, Jinjiao
2020
Existence and concentration of positive ground states for a 1-Laplacian problem in $$\mathbb{R}^N$$. Zbl 1428.35021
Che, Guofeng; Shi, Hongxia; Wang, Zewei
2020
Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation. Zbl 1429.35017
Tian, Shou-Fu
2020
Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations. Zbl 1437.86001
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
2020
Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber. Zbl 1439.78012
Du, Zhong; Tian, Bo; Chai, Han-Peng; Zhao, Xue-Hui
2020
Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions. Zbl 1465.65067
Cai, Jiaxiang; Zhang, Haihui
2020
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems. Zbl 1451.35200
Wang, Guotao; Ren, Xueyan
2020
A lattice Boltzmann model for the fractional advection-diffusion equation coupled with incompressible Navier-Stokes equation. Zbl 1431.35097
Du, Rui; Liu, Zixuan
2020
Stationary distribution of a stochastic hybrid phytoplankton-zooplankton model with toxin-producing phytoplankton. Zbl 1432.62369
Wang, Hui; Liu, Meng
2020
An averaging principle for stochastic fractional differential equations with time-delays. Zbl 1436.34072
Luo, Danfeng; Zhu, Quanxin; Luo, Zhiguo
2020
Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model. Zbl 1436.65162
Yin, Baoli; Liu, Yang; Li, Hong
2020
A boundary knot method for 3D time harmonic elastic wave problems. Zbl 1437.35242
Sun, Linlin; Zhang, Cong; Yu, Yue
2020
Axially symmetric solutions of the Schrödinger-Poisson system with zero mass potential in $$\mathbb{R}^2$$. Zbl 1437.35263
Wen, Lixi; Chen, Sitong; Rădulescu, Vicenţiu D.
2020
A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation. Zbl 1440.65093
Luo, Zhendong; Wang, Hui
2020
A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation. Zbl 1445.65048
Du, Hong; Chen, Zhong
2020
Soliton molecules and novel smooth positons for the complex modified KdV equation. Zbl 1440.35034
Zhang, Zhao; Yang, Xiangyu; Li, Biao
2020
An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains. Zbl 1465.65158
Cavoretto, Roberto; De Rossi, Alessandra
2020
24 crossing limit cycles in only one nest for piecewise cubic systems. Zbl 07208164
Gouveia, Luiz F. S.; Torregrosa, Joan
2020
Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations. Zbl 1440.35314
Yu, Fajun; Fan, Rui
2020
Finite time blowup for a semilinear pseudo-parabolic equation with general nonlinearity. Zbl 1426.35044
Han, Yuzhu
2020
Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses. Zbl 1426.34022
Zhang, Wei; Liu, Wenbin
2020
Exponential ultimate boundedness of non-autonomous fractional differential systems with time delay and impulses. Zbl 1429.34082
Xu, Liguang; Chu, Xiaoyan; Hu, Hongxiao
2020
The unique iterative positive solution of fractional boundary value problem with q-difference. Zbl 1437.65228
Mao, Jinxiu; Zhao, Zengqin; Wang, Chenguang
2020
A necessary and sufficient condition for Hyers-Ulam stability of first-order periodic linear differential equations. Zbl 1429.34024
Fukutaka, Ryuma; Onitsuka, Masakazu
2020
Threshold dynamics of a vector-borne disease model with spatial structure and vector-bias. Zbl 1431.35214
Wang, Jinliang; Chen, Yuming
2020
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Zbl 1436.34067
Li, Tongxing; Rogovchenko, Yuriy V.
2020
A greedy block Kaczmarz algorithm for solving large-scale linear systems. Zbl 1439.65042
Niu, Yu-Qi; Zheng, Bing
2020
Existence of forced waves and gap formations for the lattice Lotka-Volterra competition system in a shifting environment. Zbl 1442.92141
Wang, Hongyong; Pan, Chaohong; Ou, Chunhua
2020
New result for nonlinear Choquard equations: doubly critical case. Zbl 1440.35142
Su, Yu
2020
A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. Zbl 07206927
Citro, Vincenzo; D&rsquo;Ambrosio, Raffaele; Di Giovacchino, Stefano
2020
Direct discontinuous Galerkin method for solving nonlinear time fractional diffusion equation with weak singularity solution. Zbl 1447.65107
Ren, Jincheng; Huang, Chaobao; An, Na
2020
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#### Cited by 30,655 Authors

 252 Agarwal, Ravi P. 181 O’Regan, Donal 177 Noor, Muhammad Aslam 161 Srivastava, Hari Mohan 127 Băleanu, Dumitru I. 123 Argyros, Ioannis Konstantinos 122 Ge, Weigao 122 Liu, Lishan 119 Ahmad, Bashir 119 Karapınar, Erdal 114 Nieto Roig, Juan Jose 112 Wu, Yonghong 108 Stević, Stevo 103 Simos, Theodore E. 102 Huang, Nan-Jing 101 Cho, Yeol Je 101 Kumam, Poom 100 Wang, Jinrong 96 Ding, Xie Ping 88 Dehghan Takht Fooladi, Mehdi 87 Dragomir, Sever Silvestru 86 Al-saedi, Ahmed Eid Salem 83 Kang, Shin Min 83 Mu, Chunlai 83 Radenovic, Stojan 82 Tang, Xianhua 79 Quintanilla de Latorre, Ramón 78 Yao, Jen-Chih 74 Hayat, Tasawar 74 Ntouyas, Sotiris K. 70 Torregrosa Sanchez, Juan Ramón 70 Zhou, Yong 69 Ding, Feng 69 Samet, Bessem 68 Li, Tongxing 66 Abbas, Mujahid 66 Cordero, Alicia 65 Ramm, Alexander G. 64 Noor, Khalida Inayat 63 Chen, Haibo 63 Teng, Zhi-dong 62 Ma, Ruyun 62 Zhang, Xinguang 61 Jiang, Daqing 61 Messaoudi, Salim A. 60 Graef, John R. 59 Chen, Fengde 59 Kiliçman, Adem 59 Ma, Changfeng 59 Sintunavarat, Wutiphol 57 Cao, Jinde 56 Bhrawy, Ali Hassan 56 Park, Choonkil 55 Chu, Yuming 54 Li, Wan-Tong 54 Meng, Xinzhu 53 Cui, Yujun 53 Fan, Jishan 53 Liu, Yuji 52 Aydi, Hassen Mohamed 52 Henderson, Johnny Lee 50 Liu, Zeqing 49 Mursaleen, Mohammad 49 Nashine, Hemant Kumar 49 Torres, Delfim Fernando Marado 48 Grace, Said Rezk 47 Huang, Ting-Zhu 47 Hussain, Nawab 47 Kadelburg, Zoran 47 Llibre, Jaume 47 Verma, Ram U. 46 Goodrich, Christopher S. 46 Jódar Sanchez, Lucas Antonio 46 Li, Yongkun 46 Shah, Kamal 46 Zhou, Jun 44 Balachandran, Krishnan 44 Meng, Fanwei 44 Wang, Guotao 44 Zhang, Jihui 43 Sun, Shurong 43 Wazwaz, Abdul-Majid Abdul-Rahman 42 Kudryashov, Nikolaĭ Alekseevich 42 Qin, Xiaolong 41 Kong, Lingju 41 Liu, Zhenhai 40 Alotaibi, Abdullah M. 40 Ansari, Qamrul Hasan 40 Benchohra, Mouffak 40 Chun, Changbum 40 Diblík, Josef 40 Hernández, Miguel Ángel 40 Li, Yongxiang 40 Savaş, Ekrem 39 de la Sen, Manuel 39 Ma, Wen-Xiu 39 Zhai, Chengbo 39 Zhou, Yong 38 Eshaghi Gordji, Madjid 38 Feng, Meiqiang ...and 30,555 more Authors
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#### Cited in 972 Journals

 2,268 Applied Mathematics and Computation 2,127 Applied Mathematics Letters 1,329 Computers & Mathematics with Applications 1,159 Journal of Mathematical Analysis and Applications 948 Abstract and Applied Analysis 927 Advances in Difference Equations 844 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 823 Journal of Computational and Applied Mathematics 537 Journal of Inequalities and Applications 468 Fixed Point Theory and Applications 456 Mathematical and Computer Modelling 387 Discrete Dynamics in Nature and Society 383 Boundary Value Problems 347 Nonlinear Analysis. Real World Applications 345 Journal of Differential Equations 341 Mathematical Problems in Engineering 338 Journal of Applied Mathematics and Computing 330 Mathematical Methods in the Applied Sciences 306 Nonlinear Dynamics 305 Discrete Applied Mathematics 291 Communications in Nonlinear Science and Numerical Simulation 284 Journal of Function Spaces 277 Applied Numerical Mathematics 273 Linear Algebra and its Applications 261 Applicable Analysis 257 Journal of Applied Mathematics 247 Numerical Algorithms 227 Journal of Optimization Theory and Applications 222 Journal of the Franklin Institute 219 Journal of Difference Equations and Applications 215 Chaos, Solitons and Fractals 214 Applied Mathematical Modelling 211 Mediterranean Journal of Mathematics 210 Computational and Applied Mathematics 202 Journal of Computational Physics 198 ZAMP. Zeitschrift für angewandte Mathematik und Physik 198 International Journal of Computer Mathematics 195 Journal of Mathematical Chemistry 186 Journal of Mathematical Physics 182 Discrete and Continuous Dynamical Systems. Series B 177 Discrete Mathematics 176 Journal of Nonlinear Science and Applications 171 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 162 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 143 Complexity 140 Numerical Functional Analysis and Optimization 139 Engineering Analysis with Boundary Elements 135 Journal of Scientific Computing 134 Journal of Applied Analysis and Computation 130 Acta Applicandae Mathematicae 128 Fuzzy Sets and Systems 128 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 121 Afrika Matematika 120 Computer Methods in Applied Mechanics and Engineering 120 Results in Mathematics 117 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 112 Mathematics and Computers in Simulation 105 Fractional Calculus & Applied Analysis 104 Acta Mathematicae Applicatae Sinica. English Series 103 Information Sciences 103 Theoretical Computer Science 103 Communications on Pure and Applied Analysis 103 Journal of Fixed Point Theory and Applications 102 Discrete and Continuous Dynamical Systems 101 International Journal of Biomathematics 101 Advances in Mathematical Physics 101 International Journal of Applied and Computational Mathematics 100 Journal of Mathematical Biology 98 Acta Mathematica Sinica. English Series 98 Journal of Mathematics 97 International Journal of Mathematics and Mathematical Sciences 96 Journal of Global Optimization 91 Rocky Mountain Journal of Mathematics 90 European Journal of Operational Research 89 Bulletin of Mathematical Biology 88 Nonlinear Analysis. Modelling and Control 87 Journal of the Egyptian Mathematical Society 85 Linear and Multilinear Algebra 84 Journal of Theoretical Biology 81 Mathematical Biosciences and Engineering 80 Optimization 79 Mathematical Biosciences 79 International Journal of Differential Equations 76 Physica D 75 Automatica 75 Mathematical Sciences 74 Asian-European Journal of Mathematics 73 Turkish Journal of Mathematics 72 Differential Equations and Dynamical Systems 70 Proceedings of the American Mathematical Society 70 Optimization Letters 70 Open Mathematics 67 Applied Mathematics and Mechanics. (English Edition) 66 Qualitative Theory of Dynamical Systems 65 Graphs and Combinatorics 65 Nonlinear Analysis. Hybrid Systems 64 International Journal of Control 64 Calcolo 62 Systems & Control Letters 59 Information Processing Letters ...and 872 more Journals
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#### Cited in 62 Fields

 8,904 Partial differential equations (35-XX) 7,932 Ordinary differential equations (34-XX) 6,962 Numerical analysis (65-XX) 4,097 Operator theory (47-XX) 3,559 Biology and other natural sciences (92-XX) 2,349 Fluid mechanics (76-XX) 2,050 Real functions (26-XX) 2,017 Combinatorics (05-XX) 1,894 Difference and functional equations (39-XX) 1,893 Systems theory; control (93-XX) 1,729 Dynamical systems and ergodic theory (37-XX) 1,674 Calculus of variations and optimal control; optimization (49-XX) 1,572 Operations research, mathematical programming (90-XX) 1,289 Probability theory and stochastic processes (60-XX) 1,250 General topology (54-XX) 1,136 Integral equations (45-XX) 1,129 Mechanics of deformable solids (74-XX) 981 Linear and multilinear algebra; matrix theory (15-XX) 890 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 744 Approximations and expansions (41-XX) 740 Computer science (68-XX) 723 Functions of a complex variable (30-XX) 714 Special functions (33-XX) 640 Functional analysis (46-XX) 586 Statistical mechanics, structure of matter (82-XX) 494 Number theory (11-XX) 477 Statistics (62-XX) 433 Information and communication theory, circuits (94-XX) 414 Global analysis, analysis on manifolds (58-XX) 390 Sequences, series, summability (40-XX) 341 Harmonic analysis on Euclidean spaces (42-XX) 332 Classical thermodynamics, heat transfer (80-XX) 330 Quantum theory (81-XX) 279 Optics, electromagnetic theory (78-XX) 259 Mechanics of particles and systems (70-XX) 185 Integral transforms, operational calculus (44-XX) 171 Measure and integration (28-XX) 151 Differential geometry (53-XX) 127 Geophysics (86-XX) 115 Convex and discrete geometry (52-XX) 103 Mathematical logic and foundations (03-XX) 78 Potential theory (31-XX) 62 Abstract harmonic analysis (43-XX) 60 Relativity and gravitational theory (83-XX) 56 Associative rings and algebras (16-XX) 53 Algebraic geometry (14-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 44 Geometry (51-XX) 42 General and overarching topics; collections (00-XX) 41 Nonassociative rings and algebras (17-XX) 38 Field theory and polynomials (12-XX) 37 Topological groups, Lie groups (22-XX) 36 Commutative algebra (13-XX) 33 Group theory and generalizations (20-XX) 31 Algebraic topology (55-XX) 25 Several complex variables and analytic spaces (32-XX) 25 Astronomy and astrophysics (85-XX) 17 Manifolds and cell complexes (57-XX) 13 History and biography (01-XX) 9 Mathematics education (97-XX) 4 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX)