一类带有界回复力非线性Hill型方程的周期解

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Periodic Solutions of a Class of Nonlinear Hill's Type Equations with Bounded Restoring Force

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Abstract:

In this pater, we study the existence and multiplicity of the periodic solutions of a class of Hill's type equations with bounded restoring force. We prove the existence of infinite of subharmonic solutions when the weight is positive. We also consider the existence, multiplicity and dense distribution of symmetric periodic solutions in case of even and periodic weight functions.

Key words: Hill's type equation, Weight functions, Bounded restoring force, Sub-harnomic solutions, Symmetric periodic solutions

CLC Number:

O175.14

Chao Wang. Periodic Solutions of a Class of Nonlinear Hill's Type Equations with Bounded Restoring Force[J].Acta mathematica scientia,Series A, 2019, 39(4): 761-772.

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