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.
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页码：203 / 212
页数：10
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