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In this paper, the existence and uniqueness of response solutions, which has the same frequencywith 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 frequencyform 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.

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