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, 1-9

Abstract:

In this paper, the existence and uniqueness of response solutions, which has the same frequency 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 form a Banach space. Then, we obtain the existence and uniqueness of quasiperiodic solutions by means of the fixed-point methods and the - property of quasiperiodic functions.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6738247

DOI: 10.1155/2020/6738247

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