Semilinear Nonlocal Differential Equations with Delay Terms

نویسندگان

  • Jin-Mun Jeong
  • Su Jin Cheon
  • JIN CHEON
چکیده

The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder’s fixed point theorem. We construct the fundamental solution, establish the Hölder continuity results concerning the fundamental solution of its corresponding retarded linear equation, and prove the uniqueness of solutions of the given equation.

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تاریخ انتشار 2013