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

页码：299 / 318

页数：20

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