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

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  • Shanliang Zhu
  • Shufang Zhang
  • Xinli Zhang
  • Qingling Li

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.

Suggested Citation

  • Shanliang Zhu & Shufang Zhang & Xinli Zhang & Qingling Li, 2020. "Response Solutions for a Singularly Perturbed System Involving Reflection of the Argument," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-9, March.
    • Handle: RePEc:hin:jnlamp:6738247
    DOI: 10.1155/2020/6738247
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