PERIODIC AND SUBHARMONIC SOLUTIONS FOR A CLASS OF SUPERQUADRATIC FIRST ORDER HAMILTONIAN SYSTEMS

被引：0

作者：

Wang, Zhiyong ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2023年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

and phrases; Periodic solutions; subharmonic solutions; superquadratic; local linking theo-rem; generalized mountain pass theorem; EXISTENCE;

D O I：

10.7153/dea-2023-15-19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of periodic and subharmonic solutions for the first order Hamiltonian systems. By virtue of auxiliary functions, we obtain some kinds of new superquadratic growth conditions. Using the minimax methods in critical point theory, several new existence and multiplicity theorems are established.

引用

页码：381 / 393

页数：13

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