| 摘要: |
| 利用变分方法中强不定泛函的临界点理论得到了非周期一阶哈密顿系统u〖DD(-*1〗〖HT〗·〖DD)〗(t)=JHu(t,u)在减弱的超二次条件下同宿轨的存在性和多解性结论. |
| 关键词: 一阶哈密顿系统 临界点理论 减弱超二次 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Existence and Multiplicity Results for Homoclinic Orbits in First order Nonperiodic Hamiltonian Systems with Weakened Superquadratic Terms |
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YANG Sai， CHEN Wen xiong
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| Abstract: |
| Using the critical points theory for strongly indefinite functionals of variational methods,we can get the existence and multiplicity results of homoclinic orbits for the following first order nonperiodic Hamiltonian systems u〖DD(-*1〗〖HT〗·〖DD)〗(t)=JHu(t,u)with weakened superquadratic condition. |
| Key words: the first order Hamiltonian system critical points theory weakened superquadratic |
