Existence of infinitely many homoclinic orbits for second-order systems involving Hamiltonian-type equations

Electronic Journal of Differential Equations

关键词: Homoclinic solutions;    differential system;    critical point;   

DOI  :  

来源: DOAJ

【 摘 要 】

We study the second-order differential system$$ddot u + Adot{u}- L(t)u+ abla V(t,u)=0,$$where A is an antisymmetric constant matrix and$L in C(mathbb{R}, mathbb{R}^{N^2})$. We establish the existenceof infinitely many homoclinic solutions if W is of subquadraticgrowth as $|x| o +infty$ and L does not satisfy the globalpositive definiteness assumption. In the particular case where A=0,earlier results in the literature are generalized.

【 授权许可】

Unknown