期刊文献+

一类次二次二阶Hamilton系统的同宿轨 被引量:1

Homoclinic Orbits for a Class of Quadratic Second-Order Hamiltonian Systems
下载PDF
导出
摘要 分别利用极小作用原理和对称山路引理讨论一类次二次二阶Hamilton系统的同宿轨的存在性和多解性. In this paper we consider a class of subquadratic second order Hamiltonian systems with the principle of least action and the symmetric mountain-pass lemma, and obtain the existence and multiplicity of their homoclinic orbits.
作者 吕颖 唐春雷
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第4期84-87,共4页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071198) 西南大学博士基金资助项目(SWU112107)
关键词 同宿轨 HAMILTON系统 次二次条件 临界点 变分方法 homoclinic orbit Hamiltonian system subquadratic condition critical point variational method
  • 相关文献

参考文献7

  • 1RABINOWITZ P H. Homoclinic Orbits for a Class of Hamihonian Systems [J]. Proc Roy Soc Edinburgh Sect A, 1990, 114(1-2): 33-38.
  • 2TANG Xian-hua, XIAO Li. Homoclinic Solutions for a Class of Second-Order Hamiltonian Systems [J]. Nonlinear A- nal, 71(3-4): 1140-1152.
  • 3IZYDOREK M, JANCZEWSKA J. Homoclinic Solutions for Nonautonomous Second Order Hamiltonian Systems with a Coercive Potential [J]. J Math AnalAppl, 2007, 335(2): 1119-1127.
  • 4ZHANG Zi-heng, YUAN Rong. Homoclinic Solutions for a Class of Non Autonomous Subquadratic Second-Order Ham ihonianSystems [J]. Nonlinear Anal, 2009, 71(9): 412-413.
  • 5SUN Jun-tao, CHEN Hai-bo, NIETO J J. Homoclinic Solutions for a Class of Subquadratic Second-Order Hamiltonian Systems[J]. J Math Anal Appl, 2011, 373(1): 20-29.
  • 6ZHANG Qing-ye, LIU Chun gen. Infinitely Many Homoclinic Solutions for Second Order Hamihonian Systems[J]. Nonlinear Anal, 2010, 72(2): 894-903.
  • 7TANG Xian hua, LIN Xiao-yan. Infinitely Many Homoclinic Orbits for Hamiltonian Systems with Indefinite Sign Sub- quadratic Potentials [J]. Nonlinear Anal, 2011, 74(17): 6314-6325.

同被引文献2

引证文献1

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部