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## Zhao, Yulin

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 Author ID: zhao.yulin Published as: Zhao, Yulin; Zhao, Y.; Zhao, Yunlin; Zhao, Y. L.; Zhao, Yu-Lin; Zhao, Yun Lin; Zhao, Yu-lin
 Documents Indexed: 150 Publications since 1991
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#### Co-Authors

 11 single-authored 18 Chen, Haibo 9 Cen, Xiuli 7 Li, Shimin 7 Liang, Haihua 7 Zhang, Zhifen 6 Huang, Jianfeng 6 Zhang, Qiming 5 Huang, Li 4 Feng, Zhilan 4 Shao, Yi 4 Wu, Kuilin 3 Li, Yin 3 Qin, Bin 3 Xu, Chengjie 3 Yao, Zhengan 3 Yeo, Joon Hock 3 Zhu, Siming 2 Dai, Yanfei 2 Gao, Jing 2 Gasull, Armengol 2 Li, Chengzhi 2 Li, Weigu 2 Liang, Zhaojun 2 Llibre, Jaume 2 Lu, Gang 2 Luo, Chaoliang 2 Shi, Xiaoyan 2 Tang, Liang 2 Tian, Yuzhou 2 Wakatsuki, Nobuo 2 Wang, Donghui 2 Wang, Leiou 2 Wang, Xuebin 2 Wong, Roderick Sue-Chuen 2 Ye, Guobing 2 Zheng, Yiqiang 2 Zhu, Huaiping 1 Afrouzi, Ghasem Alizadeh 1 Anantram, M. P. 1 Anastasiou, K. S. 1 Bhargava, Manjul 1 Caristi, Giuseppe 1 Chen, Pingge 1 Chen, Yanyan 1 Coull, Brent A. 1 Dai, Wusheng 1 Daw, N. A. 1 Dharani, L. R. 1 Duan, Xiang-Yang 1 Edara, Praveen 1 Guo, Lina 1 Hanajima, N. 1 Heidarkhani, Shapour 1 Hetmaniuk, Ulrich L. 1 Horikane, T. 1 Hou, Aiyu 1 Leung, Andrew Yee-Tak 1 Li, Feng 1 Li, Wen-Du 1 Li, Xian-Fang 1 Liu, Changjian 1 Liu, Xingguo 1 Ma, Li 1 Maguire, R. Brien 1 Moradi, Shahin 1 Mueed, A. 1 Oliveira, Regilene D. S. 1 Sang, Bo 1 Shen, Xian-hua 1 Staudenmayer, John 1 Sun, Zhaohong 1 Tai, Juwei 1 Taniguchi, Takashi 1 Teodorović, Dušan B. 1 Thorne, Frank 1 Totsuji, Hiroo 1 Triantis, Konstantinos P. 1 Tsimerman, Jacob 1 Velasco-Hernandez, Jorge X. 1 Wand, Matthew P. 1 Wang, Fulin 1 Wang, Jinhua 1 Wang, Jiquan 1 Winterbone, D. E. 1 Wu, Xiaoming 1 Xiang, Hongjun 1 Yang, Lianjiao 1 Zhang, Hong 1 Zhao, Yanlin 1 Zhou, Chi-Chun 1 Zhu, Xianyang
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#### Serials

 10 Journal of Mathematical Analysis and Applications 7 Journal of Differential Equations 6 Applied Mathematics and Computation 6 Advances in Difference Equations 6 Boundary Value Problems 5 Discrete and Continuous Dynamical Systems 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Abstract and Applied Analysis 3 Computers & Mathematics with Applications 3 Bulletin des Sciences Mathématiques 2 Applicable Analysis 2 Computers and Fluids 2 International Journal of Mechanical Sciences 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Mathematical Biosciences 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Biometrika 2 International Journal for Numerical Methods in Engineering 2 Journal of Computational and Applied Mathematics 2 Mathematics in Practice and Theory 2 Chinese Annals of Mathematics. Series B 2 Computational Mechanics 2 Applied Mathematics Letters 2 Engineering Analysis with Boundary Elements 2 Nonlinear Analysis. Real World Applications 2 Algorithms 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 Computers and Structures 1 Houston Journal of Mathematics 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Physica A 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 International Journal of Mathematics and Mathematical Sciences 1 Studies in Applied Mathematics 1 Acta Scientiarum Naturalium Universitatis Sunyatseni 1 Statistical Science 1 Annals of Differential Equations 1 Journal of Biomathematics 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 European Journal of Operational Research 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Physics of Fluids 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Baoji College of Arts and Science. Natural Science 1 Nonlinear Dynamics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Mathematical Inequalities & Applications 1 European Journal of Mechanics. A. Solids 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Applied Mechanics and Engineering 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Inverse Problems in Science and Engineering 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Science China. Mathematics 1 Journal of Beihua University. Natural Science 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 100 Ordinary differential equations (34-XX) 23 Dynamical systems and ergodic theory (37-XX) 13 Biology and other natural sciences (92-XX) 12 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 8 Numerical analysis (65-XX) 7 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Systems theory; control (93-XX) 4 Partial differential equations (35-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

111 Publications have been cited 789 times in 434 Documents Cited by Year
Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians. Zbl 0961.34016
Zhao, Yulin; Zhang, Zhifen
1999
General design Bayesian generalized linear mixed models. Zbl 1129.62063
Zhao, Y.; Staudenmayer, J.; Coull, B. A.; Wand, M. P.
2006
Approximate solution of fractional integro-differential equations by Taylor expansion method. Zbl 1228.65133
Huang, Li; Li, Xian-Fang; Zhao, Yulin; Duan, Xiang-Yang
2011
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. Zbl 1338.34033
Zhao, Yulin; Chen, Haibo; Qin, Bin
2015
The monotonicity of period function for the codimension four quadratic system $$Q_4$$. Zbl 1047.34024
Zhao, Yulin
2002
Existence of positive solutions for nonlinear fractional functional differential equation. Zbl 1277.34111
Zhao, Yulin; Chen, Haibo; Huang, Li
2012
The cyclicity of the period annulus of the quadratic Hamiltonian systems with non-Morsean point. Zbl 0960.37027
Zhao, Yulin; Liang, Zhaojun; Lu, Gang
2000
Existence of multiple positive solutions for $$m$$-point boundary value problems in Banach spaces. Zbl 1147.34019
Zhao, Yu-Lin; Chen, Hai-Bo
2008
On the monotonicity of the period function of a quadratic system. Zbl 1089.34038
Zhao, Yulin
2005
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
2002
Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035
Gasull, A.; Zhao, Y.
2008
Linear estimate on the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics. Zbl 1107.34312
Zhao, Yulin; Li, Weigu; Li, Chengzhi; Zhang, Zhifen
2002
Infinitely many solutions for perturbed impulsive fractional differential systems. Zbl 1367.34007
Heidarkhani, Shapour; Zhao, Yulin; Caristi, Giuseppe; Afrouzi, Ghasem A.; Moradi, Shahin
2017
Perturbations of the non-generic quadratic Hamiltonian vector fields with hyperbolic segment. Zbl 1001.34024
Zhao, Yulin; Zhu, Siming
2001
Existence results for fractional $$q$$-difference equations with nonlocal $$q$$-integral boundary conditions. Zbl 1380.39011
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Abelian integrals for cubic vector fields. Zbl 0958.34026
Zhao, Yulin; Zhang, Zhifen
1999
On the number of limit cycles in quadratic perturbations of quadratic codimension-four centres. Zbl 1236.34039
Zhao, Yulin
2011
Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems. Zbl 1345.34068
Liang, Haihua; Huang, Jianfeng; Zhao, Yulin
2014
On the number of limit cycles of a perturbed cubic polynomial differential center. Zbl 1304.34061
Li, Shimin; Zhao, Yulin; Li, Jun
2013
Periodic solutions for equation $$\dot x = A(t)x^m + B(t)x^n + C(t)x^l$$ with $$A(t)$$ and $$B(t)$$ changing signs. Zbl 1277.34047
Huang, Jianfeng; Zhao, Yulin
2012
On the number of limit cycles for a class of discontinuous quadratic differential systems. Zbl 1360.34073
Cen, Xiuli; Li, Shimin; Zhao, Yulin
2017
Infinitely many solutions for fractional differential system via variational method. Zbl 1346.34016
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2016
The cyclicity and period function of a class of quadratic reversible Lotka-Volterra system of genus one. Zbl 1219.34044
Shao, Yi; Zhao, Yulin
2011
Multiple positive solutions of a singular semipositone integral boundary value problem for fractional $$q$$-derivatives equation. Zbl 1274.34079
Zhao, Yulin; Ye, Guobing; Chen, Haibo
2013
The period function for quadratic integrable systems with cubic orbits. Zbl 1068.34030
Zhao, Yulin
2005
An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects. Zbl 1092.76041
Lv, X.; Zhao, Y.; Huang, X. Y.; Xia, G. H.; Wang, Z. J.
2006
Emerging disease dynamics in a model coupling within-host and between-host systems. Zbl 1303.92113
Cen, Xiuli; Feng, Zhilan; Zhao, Yulin
2014
Coupled within-host and between-host dynamics and evolution of virulence. Zbl 1364.92042
Feng, Zhilan; Cen, Xiuli; Zhao, Yulin; Velasco-Hernandez, Jorge X.
2015
Limit cycles bifurcated from a class of quadratic reversible center of genus one. Zbl 1250.34033
Liang, Haihua; Zhao, Yulin
2012
Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects. Zbl 1342.34040
Zhao, Yulin; Zhao, Yanlin
2016
Bifurcation of limit cycles by perturbing piecewise smooth integrable non-Hamiltonian systems. Zbl 1354.34070
Li, Shimin; Cen, Xiuli; Zhao, Yulin
2017
Quadratic perturbations of a class of quadratic reversible systems with one center. Zbl 1198.34050
Liang, Haihua; Zhao, Yulin
2010
Bifurcation of an SIS model with nonlinear contact rate. Zbl 1327.34090
Li, Jun; Zhao, Yulin; Zhu, Huaiping
2015
Algebraic limit cycles in polynomial systems of differential equations. Zbl 1135.34025
Llibre, Jaume; Zhao, Yulin
2007
Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations. Zbl 1165.34329
Zhao, Yulin; Chen, Haibo
2008
Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076
Oliveira, Regilene; Zhao, Yulin
2014
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101
Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y.
2020
Existence of limit cycles and homoclinic bifurcation in a plant-herbivore model with toxin-determined functional response. Zbl 1316.34053
Zhao, Yulin; Feng, Zhilan; Zheng, Yiqiang; Cen, Xiuli
2015
Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop. Zbl 0962.34026
Zhao, Yulin; Zhang, Zhifen
2000
Multiplicity results for impulsive fractional differential equations with $$p$$-Laplacian via variational methods. Zbl 06767364
Zhao, Yulin; Tang, Liang
2017
A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction. Zbl 1139.74049
Lv, X.; Zhao, Y.; Huang, X. Y.; Xia, G. H.; Su, X. H.
2007
On the period function of reversible quadratic centers with their orbits inside quartics. Zbl 1182.34059
Liang, Haihua; Zhao, Yulin
2009
Fast and slow dynamics of malaria model with relapse. Zbl 1281.92033
Li, Jun; Zhao, Yulin; Li, Shimin
2013
Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1432.34064
Dai, Yanfei; Zhao, Yulin; Sang, Bo
2019
Statistical inference based on non-smooth estimating functions. Zbl 1064.62026
Tian, L.; Liu, J.; Zhao, Y.; Wei, L. J.
2004
Higher order Melnikov function for a quartic Hamiltonian with cuspidal loop. Zbl 1019.34038
Zhao, Yulin; Zhu, Siming
2002
Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional $$q$$-derivatives. Zbl 1296.34048
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. Zbl 1244.34023
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2012
Limit cycles for planar semi-quasi-homogeneous polynomial vector fields. Zbl 1258.34059
Zhao, Yulin
2013
Bifurcation of limit cycles from a non-Hamiltonian quadratic integrable system with homoclinic loop. Zbl 1271.34036
Zhao, Yulin; Zhu, Huaiping
2012
Nontrivial solutions for impulsive fractional differential equations via Morse theory. Zbl 1411.34026
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2017
On the number of zeros of Abelian integrals for a polynomial Hamiltonian irregular at infinity. Zbl 1067.34034
Zhao, Yulin
2005
Two oscillators in a dissipative bath. Zbl 1001.82067
Zhao, Y.; Chen, G. H.
2003
The cyclicity of a class of quadratic reversible system of genus one. Zbl 1279.34047
Shao, Yi; Zhao, Yulin
2011
Abelian integrals and period functions for quasihomogeneous Hamiltonian vector fields. Zbl 1110.34022
Zhao, Yulin; Zhang, Zhifen
2005
A 3D implicit unstructured-grid finite volume method for structural dynamics. Zbl 1162.74046
Xia, G. H.; Zhao, Y.; Yeo, J. H.; Lv, X.
2007
Isochronicity for a class of reversible systems. Zbl 1195.34065
Wu, Kuilin; Zhao, Yulin
2010
Numerical study of solid-liquid phase change by phase field method. Zbl 1390.76544
Zhao, Y.; Zhao, C. Y.; Xu, Z. G.
2018
Limit cycles of perturbed cubic isochronous center via the second order averaging method. Zbl 1296.34077
Li, Shimin; Zhao, Yulin
2014
Hopf cyclicity and global dynamics for a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1406.34071
Dai, Yanfei; Zhao, Yulin
2018
On the period function of a class of reversible quadratic centers. Zbl 1226.34034
Liang, Hai Hua; Zhao, Yun Lin
2011
The limit set of trajectory in quasi-homogeneous system in $$\mathbb{R}^3$$. Zbl 1286.37020
Huang, Jianfeng; Zhao, Yunlin
2012
Simulation of micro flows with moving boundaries using high-order upwind FV method on unstructured grids. Zbl 1115.76353
Zhao, Y.; Tai, J.; Ahmed, F.
2002
Quadratic perturbations of a class of quadratic reversible center of genus one. Zbl 1281.34056
Liang, Haihua; Wu, Kuilin; Zhao, Yulin
2013
Multidimensional discontinuous SPH method and its application to metal penetration analysis. Zbl 1352.74121
Xu, F.; Zhao, Y.; Yan, R.; Furukawa, T.
2013
The finite volume FLIC method and its stability analysis. Zbl 0837.76066
Zhao, Y.; Winterbone, D. E.
1995
Triple positive solutions for nonlinear boundary value problems in Banach space. Zbl 1189.34058
Zhao, Yulin; Chen, Haibo
2009
Spin coating of a colloidal suspension. Zbl 1182.76873
Zhao, Y.; Marshall, J. S.
2008
Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the $$y$$-axis. Zbl 1442.37070
Tian, Yuzhou; Zhao, Yulin
2020
Electrical impedance evaluation in a conductive-dielectric half space by the charge simulation method. Zbl 1011.78505
Xu, W.; Zhao, Y.; Du, Y.; Kagawa, Y.; Wakatsuki, N.; Park, K.-C.
2002
Explanation oriented association mining using rough set theory. Zbl 1026.68668
Yao, Y. Y.; Zhao, Y.; Maguire, R. Brien
2003
A singularly perturbed boundary value problem arising in phase transitions. Zbl 1142.34013
Wong, R.; Zhao, Y.
2006
Perturbations of May-Leonard system. Zbl 1312.34072
Zhao, Yulin; Cen, Xiuli
2014
Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two. Zbl 1320.37041
Cen, Xiuli; Zhao, Yulin; Liang, Haihua
2015
Chaotic control and generalized synchronization for a hyperchaotic Lorenz-Stenflo system. Zbl 1291.34105
Li, Yin; Zhao, Yulin; Yao, Zheng-An
2013
Bifurcation of isolated closed orbits from degenerated singularity in $$\mathbb{R}^{3}$$. Zbl 1316.34043
Huang, Jianfeng; Zhao, Yulin
2013
Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters. Zbl 1343.34075
Zhao, Yulin; Huang, Li; Zhang, Qiming
2015
Stochastic exact solutions of the Wick-type stochastic NLS equation. Zbl 1338.35516
Li, Yin; Zhao, Yulin; Yao, Zheng-an
2014
On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order. Zbl 1338.37035
Li, Shimin; Zhao, Yulin; Sun, Zhaohong
2015
On the number of solutions to Carrier’s problem. Zbl 1194.34032
Wong, R.; Zhao, Y.
2008
The number of zeros of Abelian integrals for a class of plane quadratic systems with two centres. Zbl 1121.34319
Shao, Yi; Zhao, Yulin
2007
Dynamics of driven liquid films on heterogeneous surfaces. Zbl 1095.76023
Zhao, Y.; Marshall, J. S.
2006
The existence of multiple positive solutions for singular functional differential equations with sign-changing nonlinearity. Zbl 1195.34097
Zhao, Yulin; Chen, Haibo
2010
A travel demand management strategy: the downtown space reservation system. Zbl 1188.90046
Zhao, Y.; Triantis, K.; Teodorović, D.; Edara, P.
2010
Generalizations of some classical results under MVBV condition. Zbl 1161.42300
Wang, M. Z.; Zhao, Y.
2009
Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in Banach spaces. Zbl 1296.47110
Zhao, Yulin; Huang, Li; Wang, Xuebin; Zhu, Xianyang
2012
The cyclicity of quadratic reversible systems with a center of genus one and non-Morsean point. Zbl 1410.34096
Zhao, Yulin; Chen, Yanyan
2014
Positive solutions to boundary value problems of a high-order fractional differential equation in a Banach space. Zbl 1391.34097
Zhao, Yulin; Yang, Lianjiao; Chen, Pingge
2013
Multiplicity results for a class of fractional differential equations with impulse. Zbl 1448.34032
Zhao, Yulin; Shi, Xiaoyan; Chen, Haibo
2018
Adaptive synchronization of coupled harmonic oscillators under switching topology. Zbl 1406.93039
Xu, Chengjie; Zhao, Yulin; Qin, Bin; Zhang, Hong
2019
Existence results for non-instantaneous impulsive nonlinear fractional differential equation via variational methods. Zbl 1441.34020
Zhao, Yulin; Luo, Chaoliang; Chen, Haibo
2020
The effects of thermal residual stress on a unidirectional composite with damage. Zbl 0800.73238
Zhao, Y.; Dharani, L. R.
1993
Fuzzy variational principle and its applications. Zbl 1027.74043
Yang, L. F.; Li, Q. S.; Leung, A. Y. T.; Zhao, Y. L.; Li, G. Q.
2002
Zeros of Abelian integrals for the reversible codimension four quadratic centers $$Q_3^R\cap Q_4$$. Zbl 1055.34064
Zhao, Yulin
2003
Perturbations of a kind of degenerate quadratic Hamiltonian system with saddle-loop. Zbl 1009.34028
Zhao, Yulin; Wu, Xiaoming; Zhu, Siming
2002
New results for perturbed second-order impulsive differential equation on the half-line. Zbl 1432.34036
Zhao, Yulin; Wang, Xuebin; Liu, Xingguo
2014
Parallel unstructured multigrid simulation of 3D unsteady flows and fluid-structure interaction in mechanical heart valve using immersed membrane method. Zbl 1237.76223
Xia, G. H.; Zhao, Y.; Yeo, J. H.
2009
On the number of zeros of abelian integral for a cubic isochronous center. Zbl 1270.34060
Wu, Kuilin; Zhao, Yunlin
2012
Existence results for third-order impulsive neutral differential equations with deviating arguments. Zbl 1343.34046
Ye, Guobing; Zhao, Yulin; Huang, Li
2014
A nested dissection approach to modeling transport in nanodevices: algorithms and applications. Zbl 1352.65133
Hetmaniuk, U.; Zhao, Y.; Anantram, M. P.
2013
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101
Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y.
2020
Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the $$y$$-axis. Zbl 1442.37070
Tian, Yuzhou; Zhao, Yulin
2020
Existence results for non-instantaneous impulsive nonlinear fractional differential equation via variational methods. Zbl 1441.34020
Zhao, Yulin; Luo, Chaoliang; Chen, Haibo
2020
Revisiting limit cycles for 3-monomial differential equations. Zbl 1453.34038
Gao, Jing; Zhao, Yulin
2020
Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1432.34064
Dai, Yanfei; Zhao, Yulin; Sang, Bo
2019
Adaptive synchronization of coupled harmonic oscillators under switching topology. Zbl 1406.93039
Xu, Chengjie; Zhao, Yulin; Qin, Bin; Zhang, Hong
2019
Numerical study of solid-liquid phase change by phase field method. Zbl 1390.76544
Zhao, Y.; Zhao, C. Y.; Xu, Z. G.
2018
Hopf cyclicity and global dynamics for a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1406.34071
Dai, Yanfei; Zhao, Yulin
2018
Multiplicity results for a class of fractional differential equations with impulse. Zbl 1448.34032
Zhao, Yulin; Shi, Xiaoyan; Chen, Haibo
2018
Infinitely many solutions for perturbed impulsive fractional differential systems. Zbl 1367.34007
Heidarkhani, Shapour; Zhao, Yulin; Caristi, Giuseppe; Afrouzi, Ghasem A.; Moradi, Shahin
2017
On the number of limit cycles for a class of discontinuous quadratic differential systems. Zbl 1360.34073
Cen, Xiuli; Li, Shimin; Zhao, Yulin
2017
Bifurcation of limit cycles by perturbing piecewise smooth integrable non-Hamiltonian systems. Zbl 1354.34070
Li, Shimin; Cen, Xiuli; Zhao, Yulin
2017
Multiplicity results for impulsive fractional differential equations with $$p$$-Laplacian via variational methods. Zbl 06767364
Zhao, Yulin; Tang, Liang
2017
Nontrivial solutions for impulsive fractional differential equations via Morse theory. Zbl 1411.34026
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2017
Bifurcation analysis and global dynamics of a mathematical model of antibiotic resistance in hospitals. Zbl 1378.92028
Cen, Xiuli; Feng, Zhilan; Zheng, Yiqiang; Zhao, Yulin
2017
Infinitely many solutions for fractional differential system via variational method. Zbl 1346.34016
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2016
Nontrivial solutions for a class of perturbed fractional differential systems with impulsive effects. Zbl 1342.34040
Zhao, Yulin; Zhao, Yanlin
2016
Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods. Zbl 1338.34033
Zhao, Yulin; Chen, Haibo; Qin, Bin
2015
Coupled within-host and between-host dynamics and evolution of virulence. Zbl 1364.92042
Feng, Zhilan; Cen, Xiuli; Zhao, Yulin; Velasco-Hernandez, Jorge X.
2015
Bifurcation of an SIS model with nonlinear contact rate. Zbl 1327.34090
Li, Jun; Zhao, Yulin; Zhu, Huaiping
2015
Existence of limit cycles and homoclinic bifurcation in a plant-herbivore model with toxin-determined functional response. Zbl 1316.34053
Zhao, Yulin; Feng, Zhilan; Zheng, Yiqiang; Cen, Xiuli
2015
Abelian integrals and limit cycles for a class of cubic polynomial vector fields of Lotka-Volterra type with a rational first integral of degree two. Zbl 1320.37041
Cen, Xiuli; Zhao, Yulin; Liang, Haihua
2015
Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters. Zbl 1343.34075
Zhao, Yulin; Huang, Li; Zhang, Qiming
2015
On the limit cycles of planar polynomial system with non-rational first integral via averaging method at any order. Zbl 1338.37035
Li, Shimin; Zhao, Yulin; Sun, Zhaohong
2015
Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems. Zbl 1345.34068
Liang, Haihua; Huang, Jianfeng; Zhao, Yulin
2014
Emerging disease dynamics in a model coupling within-host and between-host systems. Zbl 1303.92113
Cen, Xiuli; Feng, Zhilan; Zhao, Yulin
2014
Structural stability of planar quasihomogeneous vector fields. Zbl 1318.34076
Oliveira, Regilene; Zhao, Yulin
2014
Limit cycles of perturbed cubic isochronous center via the second order averaging method. Zbl 1296.34077
Li, Shimin; Zhao, Yulin
2014
Perturbations of May-Leonard system. Zbl 1312.34072
Zhao, Yulin; Cen, Xiuli
2014
Stochastic exact solutions of the Wick-type stochastic NLS equation. Zbl 1338.35516
Li, Yin; Zhao, Yulin; Yao, Zheng-an
2014
The cyclicity of quadratic reversible systems with a center of genus one and non-Morsean point. Zbl 1410.34096
Zhao, Yulin; Chen, Yanyan
2014
New results for perturbed second-order impulsive differential equation on the half-line. Zbl 1432.34036
Zhao, Yulin; Wang, Xuebin; Liu, Xingguo
2014
Existence results for third-order impulsive neutral differential equations with deviating arguments. Zbl 1343.34046
Ye, Guobing; Zhao, Yulin; Huang, Li
2014
Limit cycles in a cubic Kolmogorov system with harvest and two positive equilibrium points. Zbl 07023069
Zhang, Qi-Ming; Li, Feng; Zhao, Yulin
2014
Existence results for fractional $$q$$-difference equations with nonlocal $$q$$-integral boundary conditions. Zbl 1380.39011
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
On the number of limit cycles of a perturbed cubic polynomial differential center. Zbl 1304.34061
Li, Shimin; Zhao, Yulin; Li, Jun
2013
Multiple positive solutions of a singular semipositone integral boundary value problem for fractional $$q$$-derivatives equation. Zbl 1274.34079
Zhao, Yulin; Ye, Guobing; Chen, Haibo
2013
Fast and slow dynamics of malaria model with relapse. Zbl 1281.92033
Li, Jun; Zhao, Yulin; Li, Shimin
2013
Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional $$q$$-derivatives. Zbl 1296.34048
Zhao, Yulin; Chen, Haibo; Zhang, Qiming
2013
Limit cycles for planar semi-quasi-homogeneous polynomial vector fields. Zbl 1258.34059
Zhao, Yulin
2013
Quadratic perturbations of a class of quadratic reversible center of genus one. Zbl 1281.34056
Liang, Haihua; Wu, Kuilin; Zhao, Yulin
2013
Multidimensional discontinuous SPH method and its application to metal penetration analysis. Zbl 1352.74121
Xu, F.; Zhao, Y.; Yan, R.; Furukawa, T.
2013
Chaotic control and generalized synchronization for a hyperchaotic Lorenz-Stenflo system. Zbl 1291.34105
Li, Yin; Zhao, Yulin; Yao, Zheng-An
2013
Bifurcation of isolated closed orbits from degenerated singularity in $$\mathbb{R}^{3}$$. Zbl 1316.34043
Huang, Jianfeng; Zhao, Yulin
2013
Positive solutions to boundary value problems of a high-order fractional differential equation in a Banach space. Zbl 1391.34097
Zhao, Yulin; Yang, Lianjiao; Chen, Pingge
2013
A nested dissection approach to modeling transport in nanodevices: algorithms and applications. Zbl 1352.65133
Hetmaniuk, U.; Zhao, Y.; Anantram, M. P.
2013
On a family of polynomial differential equations having at most three limit cycles. Zbl 1283.34030
Gasull, Armengol; Zhao, Yulin
2013
Extended quasi-homogeneous polynomial system in $${\mathbb{R}^{3}}$$. Zbl 1356.34037
Huang, Jianfeng; Zhao, Yulin
2013
Existence of positive solutions for nonlinear fractional functional differential equation. Zbl 1277.34111
Zhao, Yulin; Chen, Haibo; Huang, Li
2012
Periodic solutions for equation $$\dot x = A(t)x^m + B(t)x^n + C(t)x^l$$ with $$A(t)$$ and $$B(t)$$ changing signs. Zbl 1277.34047
Huang, Jianfeng; Zhao, Yulin
2012
Limit cycles bifurcated from a class of quadratic reversible center of genus one. Zbl 1250.34033
Liang, Haihua; Zhao, Yulin
2012
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. Zbl 1244.34023
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
2012
Bifurcation of limit cycles from a non-Hamiltonian quadratic integrable system with homoclinic loop. Zbl 1271.34036
Zhao, Yulin; Zhu, Huaiping
2012
The limit set of trajectory in quasi-homogeneous system in $$\mathbb{R}^3$$. Zbl 1286.37020
Huang, Jianfeng; Zhao, Yunlin
2012
Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in Banach spaces. Zbl 1296.47110
Zhao, Yulin; Huang, Li; Wang, Xuebin; Zhu, Xianyang
2012
On the number of zeros of abelian integral for a cubic isochronous center. Zbl 1270.34060
Wu, Kuilin; Zhao, Yunlin
2012
Approximate solution of fractional integro-differential equations by Taylor expansion method. Zbl 1228.65133
Huang, Li; Li, Xian-Fang; Zhao, Yulin; Duan, Xiang-Yang
2011
On the number of limit cycles in quadratic perturbations of quadratic codimension-four centres. Zbl 1236.34039
Zhao, Yulin
2011
The cyclicity and period function of a class of quadratic reversible Lotka-Volterra system of genus one. Zbl 1219.34044
Shao, Yi; Zhao, Yulin
2011
The cyclicity of a class of quadratic reversible system of genus one. Zbl 1279.34047
Shao, Yi; Zhao, Yulin
2011
On the period function of a class of reversible quadratic centers. Zbl 1226.34034
Liang, Hai Hua; Zhao, Yun Lin
2011
The projective vector field of a kind of three-dimensional quasi-homogeneous system on $$\mathbb S$$. Zbl 1226.34032
Huang, Jianfeng; Zhao, Yunlin
2011
Quadratic perturbations of a class of quadratic reversible systems with one center. Zbl 1198.34050
Liang, Haihua; Zhao, Yulin
2010
Isochronicity for a class of reversible systems. Zbl 1195.34065
Wu, Kuilin; Zhao, Yulin
2010
The existence of multiple positive solutions for singular functional differential equations with sign-changing nonlinearity. Zbl 1195.34097
Zhao, Yulin; Chen, Haibo
2010
A travel demand management strategy: the downtown space reservation system. Zbl 1188.90046
Zhao, Y.; Triantis, K.; Teodorović, D.; Edara, P.
2010
On the period function of reversible quadratic centers with their orbits inside quartics. Zbl 1182.34059
Liang, Haihua; Zhao, Yulin
2009
Triple positive solutions for nonlinear boundary value problems in Banach space. Zbl 1189.34058
Zhao, Yulin; Chen, Haibo
2009
Generalizations of some classical results under MVBV condition. Zbl 1161.42300
Wang, M. Z.; Zhao, Y.
2009
Parallel unstructured multigrid simulation of 3D unsteady flows and fluid-structure interaction in mechanical heart valve using immersed membrane method. Zbl 1237.76223
Xia, G. H.; Zhao, Y.; Yeo, J. H.
2009
Existence of multiple positive solutions for $$m$$-point boundary value problems in Banach spaces. Zbl 1147.34019
Zhao, Yu-Lin; Chen, Hai-Bo
2008
Bifurcation of critical periods from the rigid quadratic isochronous vector field. Zbl 1160.34035
Gasull, A.; Zhao, Y.
2008
Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations. Zbl 1165.34329
Zhao, Yulin; Chen, Haibo
2008
Spin coating of a colloidal suspension. Zbl 1182.76873
Zhao, Y.; Marshall, J. S.
2008
On the number of solutions to Carrier’s problem. Zbl 1194.34032
Wong, R.; Zhao, Y.
2008
Algebraic limit cycles in polynomial systems of differential equations. Zbl 1135.34025
Llibre, Jaume; Zhao, Yulin
2007
A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction. Zbl 1139.74049
Lv, X.; Zhao, Y.; Huang, X. Y.; Xia, G. H.; Su, X. H.
2007
A 3D implicit unstructured-grid finite volume method for structural dynamics. Zbl 1162.74046
Xia, G. H.; Zhao, Y.; Yeo, J. H.; Lv, X.
2007
The number of zeros of Abelian integrals for a class of plane quadratic systems with two centres. Zbl 1121.34319
Shao, Yi; Zhao, Yulin
2007
General design Bayesian generalized linear mixed models. Zbl 1129.62063
Zhao, Y.; Staudenmayer, J.; Coull, B. A.; Wand, M. P.
2006
An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects. Zbl 1092.76041
Lv, X.; Zhao, Y.; Huang, X. Y.; Xia, G. H.; Wang, Z. J.
2006
A singularly perturbed boundary value problem arising in phase transitions. Zbl 1142.34013
Wong, R.; Zhao, Y.
2006
Dynamics of driven liquid films on heterogeneous surfaces. Zbl 1095.76023
Zhao, Y.; Marshall, J. S.
2006
Perturbations of non-Hamiltonian reversible quadratic systems with cubic orbits. Zbl 1100.34025
Zhao, Yulin
2006
3D direct inversion algorithm for electrical impedance underground anomaly detection with dual reciprocity boundary element modeling. Zbl 1122.78020
Kagawa, Y.; Xu, W.; Zhao, Y.; Horikane, T.; Wakatsuki, N.; Totsuji, H.
2006
On the monotonicity of the period function of a quadratic system. Zbl 1089.34038
Zhao, Yulin
2005
The period function for quadratic integrable systems with cubic orbits. Zbl 1068.34030
Zhao, Yulin
2005
On the number of zeros of Abelian integrals for a polynomial Hamiltonian irregular at infinity. Zbl 1067.34034
Zhao, Yulin
2005
Abelian integrals and period functions for quasihomogeneous Hamiltonian vector fields. Zbl 1110.34022
Zhao, Yulin; Zhang, Zhifen
2005
Numerical simulation of 3D fluid-structure interaction using an immersed membrane method. Zbl 1137.76420
Xia, G. H.; Zhao, Y.; Yeo, J. H.
2005
Statistical inference based on non-smooth estimating functions. Zbl 1064.62026
Tian, L.; Liu, J.; Zhao, Y.; Wei, L. J.
2004
Two oscillators in a dissipative bath. Zbl 1001.82067
Zhao, Y.; Chen, G. H.
2003
Explanation oriented association mining using rough set theory. Zbl 1026.68668
Yao, Y. Y.; Zhao, Y.; Maguire, R. Brien
2003
Zeros of Abelian integrals for the reversible codimension four quadratic centers $$Q_3^R\cap Q_4$$. Zbl 1055.34064
Zhao, Yulin
2003
The monotonicity of period function for the codimension four quadratic system $$Q_4$$. Zbl 1047.34024
Zhao, Yulin
2002
Abelian integrals for quadratic centres having almost all their orbits formed by quartics. Zbl 1038.37016
Li, Weigu; Zhao, Yulin; Li, Chengzhi; Zhang, Zhifen
2002
Linear estimate on the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics. Zbl 1107.34312
Zhao, Yulin; Li, Weigu; Li, Chengzhi; Zhang, Zhifen
2002
Higher order Melnikov function for a quartic Hamiltonian with cuspidal loop. Zbl 1019.34038
Zhao, Yulin; Zhu, Siming
2002
Simulation of micro flows with moving boundaries using high-order upwind FV method on unstructured grids. Zbl 1115.76353
Zhao, Y.; Tai, J.; Ahmed, F.
2002
Electrical impedance evaluation in a conductive-dielectric half space by the charge simulation method. Zbl 1011.78505
Xu, W.; Zhao, Y.; Du, Y.; Kagawa, Y.; Wakatsuki, N.; Park, K.-C.
2002
...and 11 more Documents
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#### Cited by 532 Authors

 52 Zhao, Yulin 24 Han, Maoan 15 Liang, Haihua 13 Chen, Haibo 13 Huang, Jianfeng 13 Llibre, Jaume 13 Villadelprat, Jordi 12 Yang, Jihua 10 Liu, Changjian 10 Xiong, Yanqin 10 Zhao, Liqin 9 Li, Shimin 8 Li, Chengzhi 8 Peng, Linping 7 Cen, Xiuli 7 Gasull, Armengol 7 Wu, Kuilin 7 Yang, Wengui 6 Feng, Meiqiang 6 Sun, Shurong 6 Xiao, Dongmei 5 Arqub, Omar Abu 5 Bravo, José Luis 5 Caristi, Giuseppe 5 Feng, Zhaosheng 5 Han, Zhenlai 5 Heidarkhani, Shapour 5 Huang, Jicai 5 Huang, Wentao 5 Li, Cuiping 5 Li, Peiluan 5 Liu, Lishan 5 Mañosas, Francesc 5 Sui, Shiyou 5 Tang, Yilei 5 Teng, Zhi-dong 5 Wu, Yonghong 5 Zang, Hong 5 Zhang, Qiming 5 Zhang, Tonghua 5 Zhang, Xiang 4 Chen, Aiyong 4 Ge, Weigao 4 Giné, Jaume 4 Lu, Min 4 Romanovski, Valery G. 4 Shao, Yi 4 Wang, Hui 4 Yang, Junmin 4 Zhai, Chengbo 3 Al-Smadi, Mohammed H. 3 Alvarez, María Jesus 3 Asheghi, Rasoul 3 Boulaaras, Salah Mahmoud 3 Cherif, Bahri Belkacem 3 Gavrilov, Lubomir 3 Guefaifia, Rafik 3 Hong, Xiaochun 3 Huang, Li 3 Kang, Shugui 3 Li, Baoyi 3 Li, Jibin 3 Li, Yanan 3 Li, Zheqing 3 Liu, Jian 3 Lu, Hongling 3 Lu, Lianghaolong 3 Moradi, Shahin 3 Ruan, Shigui 3 Sabatini, Marco 3 Salari, Amjad 3 Shivanian, Elyas 3 Sun, Xianbo 3 Wang, Jihua 3 Wu, Yusen 3 Xiao, Yanni 3 Yan, Lizhao 3 Yu, Pei 3 Zhang, Xuemei 3 Zhang, Zhifen 2 Abdalla, Mohamed 2 Abdeljawad, Thabet 2 Afrouzi, Ghasem Alizadeh 2 Al-Mdallal, Qasem M. 2 Algaba, Antonio 2 Alkan, Sertan 2 Alzabut, Jehad O. 2 Boukoucha, Rachid 2 Chai, Guoqing 2 Chen, Fangqi 2 Chen, Wencheng 2 Dai, Yanfei 2 Deif, Sarah A. 2 Didgar, Mohsen 2 Din, Qamar 2 Duan, Lijuan 2 Feng, Zhilan 2 Fernandes, Wilker 2 Gao, Jing 2 Gao, Ying ...and 432 more Authors
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#### Cited in 101 Serials

 43 Journal of Differential Equations 38 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 34 Advances in Difference Equations 29 Journal of Mathematical Analysis and Applications 22 Applied Mathematics and Computation 19 Qualitative Theory of Dynamical Systems 16 Boundary Value Problems 15 Abstract and Applied Analysis 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Nonlinear Analysis. Real World Applications 9 Chaos, Solitons and Fractals 8 Discrete and Continuous Dynamical Systems 7 Journal of Computational and Applied Mathematics 7 Bulletin des Sciences Mathématiques 7 Nonlinear Dynamics 7 Journal of Function Spaces 6 Computers & Mathematics with Applications 6 Applied Mathematics Letters 6 Journal of Applied Mathematics and Computing 6 Journal of Applied Analysis and Computation 4 Journal of Dynamics and Differential Equations 4 Mathematical Problems in Engineering 4 Journal of Biological Dynamics 3 Proceedings of the American Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Nonlinear Science and Applications 3 Advances in Mathematical Physics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 Science in China. Series A 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Difference Equations and Applications 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Analysis and Applications (Singapore) 2 Mediterranean Journal of Mathematics 2 Tbilisi Mathematical Journal 2 Science China. Mathematics 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Quaestiones Mathematicae 1 Transactions of the Moscow Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Journal of Scientific Computing 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Fractional Calculus & Applied Analysis 1 Far East Journal of Mathematical Sciences 1 Methodology and Computing in Applied Probability 1 Differential Equations 1 Nonlinear Analysis. Modelling and Control 1 Dynamical Systems 1 Journal of the Australian Mathematical Society 1 Kragujevac Journal of Mathematics 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Function Spaces and Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Frontiers of Mathematics in China 1 Optimization Letters 1 International Journal of Biomathematics 1 Communications in Theoretical Physics 1 Iranian Journal of Mathematical Sciences and Informatics 1 Journal of Theoretical Biology 1 Fractional Differential Calculus 1 Mathematics 1 Computational Methods for Differential Equations 1 Cogent Mathematics ...and 1 more Serials
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#### Cited in 24 Fields

 375 Ordinary differential equations (34-XX) 94 Dynamical systems and ergodic theory (37-XX) 45 Biology and other natural sciences (92-XX) 37 Operator theory (47-XX) 34 Numerical analysis (65-XX) 33 Integral equations (45-XX) 30 Real functions (26-XX) 24 Partial differential equations (35-XX) 22 Difference and functional equations (39-XX) 16 Global analysis, analysis on manifolds (58-XX) 8 Special functions (33-XX) 7 Systems theory; control (93-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)