Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS

  • Jeong, Jin-Mun (Department of Applied Mathematics Pukyong National University) ;
  • Cheon, Su Jin (Department of Mathematics Pukyong National University)
  • Received : 2012.09.26
  • Published : 2013.05.01
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Abstract

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 H$\ddot{o}$lder continuity results concerning the fundamental solution of its corresponding retarded linear equation, and prove the uniqueness of solutions of the given equation.

Keywords

Acknowledgement

Supported by : National research Foundation of Korea(NRF)

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