Response Solutions for a Singularly Perturbed System Involving Reflection of the Argument

Shanliang Zhu, Shufang Zhang, Xinli Zhang and Qingling Li

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, the existence and uniqueness of response solutions, which has the same frequency ω with the nonlinear terms, are investigated for a quasiperiodic singularly perturbed system involving reflection of the argument. Firstly, we prove that all quasiperiodic functions with the frequency ω form a Banach space. Then, we obtain the existence and uniqueness of quasiperiodic solutions by means of the fixed‐point methods and the B‐property of quasiperiodic functions.

Date: 2020
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https://doi.org/10.1155/2020/6738247

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:6738247

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