Existence and Uniqueness of Periodic Solutions of Mixed Monotone Functional Differential Equations

نویسندگان

  • Shugui Kang
  • Sui Sun Cheng
چکیده

and Applied Analysis 3 Remark 1.5. Condition A3 in Theorem 1.4 can be replaced by A3’ φ t, x ψ t, x is monotone in x and left lower semicontinuous at any t ∈ 0, 1 . 2. Main Results A real T -periodic continuous function y : R → R is said to be a T -periodic solution of 1.1 if substitution of it into 1.1 yields an identity for all t ∈ R. It is well known see, e.g., 1, 2 that 1.1 has a T -periodic solution y t if, and only if, y t is a T -periodic solution of the equation

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تاریخ انتشار 2009