节点文献
一类p(t)-Hamilton系统的高能量解
High Energy Solutions for a Class of p(t)-Hamiltonian Systems
【摘要】 研究p(t)-Hamilton系统周期边值问题高能量解的存在性.当一类新的p~+-超线性条件成立时,运用临界点理论中的喷泉定理建立解的存在性结果,并举例说明结果的有效性.
【Abstract】 In this paper, we study the existence of high energy solutions for periodic boundary value problems of p(t)-Hamiltonian systems. Under a new kind of p~+-superlinear condition, we establish some existence results by using the fountain theorem in critical point theory. An example is provided to illustrate our result.
【关键词】 周期边值问题;
高能量解;
p(t)-Hamilton系统;
基尔霍夫问题;
临界点;
【Key words】 periodic boundary value problems; high energy solutions; p(t)-Hamiltonian systems; Kirchhoff problems; critical points;
【Key words】 periodic boundary value problems; high energy solutions; p(t)-Hamiltonian systems; Kirchhoff problems; critical points;
【基金】 国家自然科学基金项目(12361047);中央高校基本科研业务费项目(31920240091)
- 【文献出处】 伊犁师范大学学报(自然科学版) ,Journal of Yili Normal University(Natural Science Edition) , 编辑部邮箱 ,2025年04期
- 【分类号】O175
- 【下载频次】2