REMARKS ON PERIODIC RESONANT PROBLEMS WITH NONLINEAR DISSIPATION

被引：0

作者：

Sanchez, Luis ^{[1
]}

Silva, Joao G. ^{[2
]}

机构：

[1] Univ Lisbon, Fac Ciencias, CMAFcIO, P-1749016 Lisbon, Portugal

[2] Univ Lisbon, Fac Ciencias, P-1749016 Lisbon, Portugal

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年

关键词：

Periodic solution; resonance; bounded solution; THEOREM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the periodic problem for a 2nd order ODE with non-invertible linear part, and mild nonlinear dissipation term. The motivation for this study is a paper by Lazer [9]. We add a bounded restoring force g(u) and show that the sufficient condition (of Landesman-Lazer type) given in [9] still implies the existence of a periodic solution in our case. We also comment on some variants of the problem and on the existence of bounded solutions.

引用

页码：203 / 212

页数：10

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