测度链上次线性二阶Hamilton系统周期解的存在性

doi:10.3969/j.issn.1007-2985.2014.05.001

journal6 ›› 2014, Vol. 35 ›› Issue (5): 1-5.DOI: 10.3969/j.issn.1007-2985.2014.05.001

• 数学 • 下一篇

测度链上次线性二阶Hamilton系统周期解的存在性

张申贵

(西北民族大学数学与计算机科学学院,甘肃兰州 730030)

出版日期:2014-09-25 发布日期:2014-10-30
作者简介:张申贵(1980—),男,甘肃兰州人，西北民族大学数学与计算机科学学院副教授,主要从事非线性泛函分析研究.
基金资助:
国家自然科学基金资助项目(31260098)；中央高校基本科研业务费专项资助项目(31920130004)

Periodic Solution for Sublinear Non-Autonomous Second Order Hamiltonian Systems on Time Scales

ZHANG Shen-Gui

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

Online:2014-09-25 Published:2014-10-30

摘要/Abstract

摘要：研究测度链上非自治二阶Hamilton系统周期解的存在性问题.在非线性项次线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果.

关键词： 测度链上系统, 周期解, 次线性, 临界点理论

Abstract: The existence of periodic solutions for non-automous second order Hamiltonian systems on time scales with sublinear nonlinearity is investigated.The periodic solutions of the system are converted into the critical points of a functional defined on a proper space,and the existence of periodic solutions is proved by critical point theory.

Key words: Hamiltonian systems on time scales, periodic solution, sublinear, critical point theory

张申贵. 测度链上次线性二阶Hamilton系统周期解的存在性[J]. journal6, 2014, 35(5): 1-5.

ZHANG Shen-Gui. Periodic Solution for Sublinear Non-Autonomous Second Order Hamiltonian Systems on Time Scales[J]. journal6, 2014, 35(5): 1-5.

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测度链上次线性二阶Hamilton系统周期解的存在性

Periodic Solution for Sublinear Non-Autonomous Second Order Hamiltonian Systems on Time Scales

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