一类双质子弱耦合碰撞系统的对称周期解

Abstract

Abstract: In this paper, we are concerned with the problems of the existence and multiplicity of symmetric periodic solutions with impact for a class of weakly coupled systems of two degrees of freedom with obstacles. Under some superlinear assumption on time-mapping, the existence of infinite symmetric harmonic solutions with impacts and symmetric subharmonic solutions with impacts of the equation is proved.

Key words: symmetric equations with obstacles, weight functions, symmetric periodic solutions with impacts, time-mapping, Poincare mapping

CLC Number:

o175.14

Huan ZiWang Chao Wang. Symmetric periodic solutions for a class of weakly coupled systems composed of two particles with obstacles[J].Acta mathematica scientia,Series A, , (): 0-0.

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Symmetric periodic solutions for a class of weakly coupled systems composed of two particles with obstacles

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