RESONANT FORCED OSCILLATIONS IN SYSTEMS WITH PERIODIC NONLINEARITIES

被引：1

作者：

Krasnosel'skii, Alexander ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 01期

关键词：

Forced periodic oscillations; higher order ODE; resonance; unbounded set of solutions; periodic nonlinearities; method of stationary phase; EQUATIONS;

D O I：

10.3934/dcds.2013.33.239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an approach to study degenerate ODE with periodic nonlinearities; for resonant higher order nonlinear equations L (p) x = f (x) + b (t); p = d/dt with 2 pi-periodic forcing b and periodic f we give multiplicity results, in particular, conditions of existence of infinite and unbounded sets of 2 pi-periodic solutions.

引用

页码：239 / 254

页数：16

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