SOLUTION TO SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDE

被引：0

作者：

Kamachkin, Alexander M. ^{[1
]}

Potapov, Dmitriy K. ^{[1
]}

Yevstafyeva, Victoria V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 199034, Russia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Discontinuous nonlinearity; phase trajectories; existence of solutions; PERIODIC-SOLUTIONS; ELLIPTIC TYPE;

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 an ordinary differential equation of second order with discontinuous nonlinearity relative to the phase variable. Phase trajectories are studied. We establish a theorem on the existence of a continuum set for nontrivial solutions and the theorem on the boundedness of solutions.

引用

页数：6

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