一类双质子弱耦合碰撞系统的对称周期解

Abstract

Abstract:

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 are concerned. Under some superlinear assumption on time-mapping, the existence of infinite symmetric harmonic solutions and symmetric subharmonic solutions with impacts of the equation are proved. Furthermore, a sufficient condition for the existence of even and periodic bouncing solution is given for the coupled symmetric impact equations of two degrees of freedom.

Key words: Symmetric equations with obstacles, Weight functions, Symmetric periodic solutions with impacts, Time-mapping, Poincaré mapping

CLC Number:

O175.14

Wang Zihuan,Wang Chao. Symmetric and Periodic Solutions for a Class of Weakly Coupled Systems Composed of Two Particles with Obstacles[J].Acta mathematica scientia,Series A, 2023, 43(5): 1427-1439.

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Symmetric and Periodic Solutions for a Class of Weakly Coupled Systems Composed of Two Particles with Obstacles

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