Periodic solutions for a class of non-autonomous differential delay equations

被引：0

作者：

Rong Cheng

Junxiang Xu

机构：

[1] Southeast University,Department of Mathematics

[2] Nanjing University of Information Science and Technology,College of Mathematics and Physics

来源：

Nonlinear Differential Equations and Applications NoDEA | 2009年 / 16卷

关键词：

34C25; 37J45; Hamiltonian system; Floquet theory; symplectic transformation; periodic solution; delay equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By applying symplectic transformation, Floquet theory and some results in critical point theory, we establish the existence of periodic solutions for a class of non-autonomous differential delay equations, which can be changed to Hamiltonian systems.

引用

共 50 条

[1] Periodic solutions for a class of non-autonomous differential delay equations
Cheng, Rong
Xu, Junxiang
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (06): : 793 - 809
[2] ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS DIFFERENTIAL DELAY EQUATIONS
Cheng, Rong
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Zhang, Dongfeng
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2010, 35 (01) : 139 - 154
[3] Periodic Solutions for a Class of Non-autonomous Newton Differential Equations
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[J]. Differential Equations and Dynamical Systems, 2020, 28 : 373 - 379
[4] Periodic Solutions for a Class of Non-autonomous Newton Differential Equations
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[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2020, 28 (02) : 373 - 379
[5] Topological degree for periodic solutions of non-autonomous differential delay equations
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Hu, Jianhua
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2011, 54 (01): : 55 - 63
[6] Asymptotic behavior of solutions to a class of non-autonomous delay differential equations
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 446 (01) : 580 - 590
[7] Periodic Solutions for Non-Autonomous Neutral Functional Differential Equations with Finite Delay
Zitane M.
[J]. Acta Mathematica Vietnamica, 2017, 42 (3) : 533 - 550
[8] PERIODIC SOLUTIONS OF POLYNOMIAL NON-AUTONOMOUS DIFFERENTIAL EQUATIONS
Alwash, Mohamad A. M.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[9] The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods
Cheng, Rong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009,
[10] The Existence of Periodic Solutions for Non-Autonomous Differential Delay Equations via Minimax Methods
Rong Cheng
[J]. Advances in Difference Equations, 2009

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