超二次二阶哈密顿系统同斜轨道的存在性

Pub Date : 2015-01-08 DOI:10.4171/ZAA/1527
Chengjun Guo, D. O’Regan, Chengjiang Wang, R. Agarwal
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引用次数: 13

摘要

利用临界点理论,研究了二阶哈密顿系统z - Kz(t, z) + Vz(t, z) = h(t)的同斜轨道的存在性,其中V (t, z)周期性依赖于t并且是超二次的。
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Existence of Homoclinic Orbits of Superquadratic Second-Order Hamiltonian Systems
Using critical point theory, we study the existence of homoclinic orbits for the second-order Hamiltonian system z̈ −Kz(t, z) + Vz(t, z) = h(t), where V (t, z) depends periodically on t and is superquadratic.
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