INFINITELY MANY FAST HOMOCLINIC SOLUTIONS OF DAMPED VIBRATION SYSTEMS WITH SUPERQUADRATIC CONDITIONS OR COMBINED NONLINEARITIES

被引：1
|
作者：
Timoumi, Mohsen [1 ]
机构：
[1] Monastir Univ, Dept Math, Monastir, Tunisia
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 02期
关键词：
Damped vibration systems; Fast homoclinic solutions; Variational methods; Cerami's con-dition; Combined nonlinearities; 2ND-ORDER HAMILTONIAN-SYSTEMS; EXISTENCE; ORBITS; MULTIPLICITY;
D O I：
10.23952/jnva.5.2021.2.08
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the existence of infinitely many fast homoclinic solutions for damped vibration systems where the nonlinearity is superquadratic or involves a combination of su-perquadratic and subquadratic terms at infinity and the matrix L is not required to be either uniformly positive definite or coercive.
引用
收藏
页码：299 / 318
页数：20
相关论文
共 50 条
12345