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摘要
We study the following second-order differential system @@@ -(u)over dot(t)-M(u) over dot(t) + L(t)u(t) = H-u(t,u (t)), t is an element of R, (0.1) @@@ which can be regarded as a second-order Hamiltonian system with a damped term. Here, the nonlinearity H(t, u) is superquadratic as vertical bar u vertical bar -> infinity . We do not need any periodic conditions, and we obtain infinitely many nontrivial homoclinic orbits of this system by variational methods. Our result improves and extends the corresponding results existed.
- 出版日期2018-7
- 单位济南大学
