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Periodic solutions of a second-order iterative differential equation
  • Houyu Zhao
Houyu Zhao
Chongqing Normal University
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Abstract

In this paper, we use Schauder and Banach fixed point theorem to study the existence, uniqueness and stability of periodic solutions of a class of iterative differential equation $$\alpha x’‘(t)+\beta x’(t)+\gamma x(t)=\lambda_1(t)x(t)+\lambda_2(t)x(x(t))+\cdots+\lambda_n(t)x^{[n]}(t)+f(t).$$