Existence and Uniqueness of Anti-Periodic Solutions for Nonlinear Higher-Order Differential Equations with Two Deviating Arguments

نویسندگان

  • Xiaosong Tang
  • Adina Luminiţa Sasu
چکیده

In this paper, we use the Leray–Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with two deviating arguments of the form x(t) + f(t, x(n−1)(t)) + g1(t, x(t− τ1(t))) + g2(t, x(t− τ2(t))) = e(t). As an application, we also give an example to demonstrate our results. AMS Subject Classifications: 34C25, 34D40.

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تاریخ انتشار 2012