Periodic Solution of a Class of Sublinear Hamiltonian System

doi:10.3969/j.issn.1007-2985.2014.01.002

journal6 ›› 2014, Vol. 35 ›› Issue (1): 4-7.DOI: 10.3969/j.issn.1007-2985.2014.01.002

• Mathematics • Previous Articles Next Articles

Periodic Solution of a Class of Sublinear Hamiltonian System

ZHANG Shen-Gui

(College of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China)

Online:2014-01-25 Published:2014-01-25

Abstract

Abstract: Hamiltonian System is an important model of differential equation.In this paper,the author investigates the existence of periodic solution for nonautonmous Hamiltonian System with sublinear nonlinearity by saddle point theorem in critical point theory.Some sufficient conditions for the existence of periodic solutions are obtained,and the results improve the Ahmad-Lazer-Paul’s coercive condition.

Key words: nonautonmous Hamiltonian system, sublinear nonlinearity, periodic solution, critical point

ZHANG Shen-Gui. Periodic Solution of a Class of Sublinear Hamiltonian System[J]. journal6, 2014, 35(1): 4-7.

[1]	LIU Yijian. Almost Periodic Solution of the Neutral Integro-Differential Equations [J]. Journal of Jishou University(Natural Sciences Edition), 2021, 42(4): 16-20.
[2]	XING Jiasheng,YANG Yichuan. Proof of Sufficient Conditions for Brachistochrone Problem Solution [J]. Journal of Jishou University（Natural Sciences Edition), 2019, 40(2): 1-4.
[3]	SUN Yang,ZHANG Shengui. Multiplicity of Periodic Solutions for a Class of Second Order Hamiltonian Systems [J]. Journal of Jishou University（Natural Sciences Edition), 2018, 39(6): 6-9.
[4]	ZHANG Shengui. Periodic Solution for a Class of Hamiltonian Systems on Time Scales [J]. Journal of Jishou University（Natural Sciences Edition), 2016, 37(4): 1-5.
[5]	ZHANG Huan-Huan. Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance [J]. journal6, 2015, 36(5): 16-20.
[6]	HUANG Yi, CHEN Guo-Ping. Existence of Solutions for Boundary Value Problems of Impulsive Fractional Differential Equations via Critical Point Theory [J]. journal6, 2015, 36(2): 11-15.
[7]	ZHANG Shen-Gui. Periodic Solution for Sublinear Non-Autonomous Second Order Hamiltonian Systems on Time Scales [J]. journal6, 2014, 35(5): 1-5.
[8]	HE Xiao-Fei, CHEN Guo-Ping, XIE Jing-Li. Periodic Solution of Some Non-Autonomous Second Order Hamiltonian Systems [J]. journal6, 2010, 31(6): 14-18.
[9]	ZHANG Li. Periodic Solutions of Some Lagrange Systems Based on Least Action Principle [J]. journal6, 2009, 30(4): 34-36.
[10]	SONG Jiang-Yan, LIU Ping, LI Yong-Kun. Anti-Periodic Solutions for a Class of Neural Networks with Variable and Unbounded Time Delays [J]. journal6, 2009, 30(4): 23-29.
[11]	LUO Hong-Ying, LIU Jun, LV Xian . Almost Periodic Solutions for a Class of Nonlinear Dynamical Systems [J]. journal6, 2009, 30(1): 20-22.
[12]	YAO Hui-Li. Existence of Almost Periodic Type Solutions for Some Nonlinear Delay Integral Equations [J]. journal6, 2009, 30(1): 9-12.
[13]	JIANG Li-Qun. Existence and Globally Exponential Stability of Periodic Solutions for Neural Networks with Delays [J]. journal6, 2006, 27(1): 32-38.
[14]	LIU Jun, SHEN Yan-Ping. The Periodic Solutions for a Class of Nonlinear Differential Equations [J]. journal6, 2005, 26(4): 70-75.
[15]	JIANG Li-Qun. Existence of Positive Periodic Solutions for Competitive Multi-Species Lotka-Volterra Defference System with Variable Delays [J]. journal6, 2004, 25(3): 36-39.

Periodic Solution of a Class of Sublinear Hamiltonian System

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments