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Semilinear nonlocal differential equations with delay terms

정진문|천수진
대한수학회 (The Korean Mathematical Society)|2013.05|대한수학회지 (Journal of the KMS)|제50권 제3호|pp. 627-639

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참고문헌

키워드

fundamental solutionnonlocal conditiondelay termasemilinear differential equationregularity for solutions
주제분류수학

초록

The goal of this paper is to obtain the regularity and theexistence of solutions of a retarded semilinear differential equation withnonlocal condition by applying Schauder’s fixed point theorem. We constructthe fundamental solution, establish the H¨older continuity resultsconcerning the fundamental solution of its corresponding retarded linearequation, and prove the uniqueness of solutions of the given equation.

Abstract

The goal of this paper is to obtain the regularity and theexistence of solutions of a retarded semilinear differential equation withnonlocal condition by applying Schauder’s fixed point theorem. We constructthe fundamental solution, establish the H¨older continuity resultsconcerning the fundamental solution of its corresponding retarded linearequation, and prove the uniqueness of solutions of the given equation.

참고문헌 (15)

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관련 논문AI추천

Regularity for semilinear retarded functional integrodifferential equations정진문, 천수진대한수학회 · 대한수학회논문집2013 · 제28권 제3호REGULARITY OF SOLUTIONS OF ABSTRACT QUASILINEAR DELAY INTEGRODIFFERENTIAL EQUATIONS박동근, Francis Paul Samuel, Krishnan Balachandran대한수학회 · 대한수학회지2011 · 제48권 제3호The existence of S-asymptotically w-periodic mild solutions for some differential equation with nonlocal conditions이현묵, 장현호대한수학회 · 대한수학회논문집2017 · 제32권 제2호Existence and Regularity for Semilinear Neutral Differential Equations in Hilbert Spaces정진문영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호Existence results for semilinear differential equations라티나사미삭시벨, Q. H. Choi, T. Jung대한수학회 · 대한수학회지2002 · 제39권 제5호Regularity for fractional order retarded neutral differential equations in Hilbert spacesJin Mun Jeong, Seong Ho Cho, Yong Han Kang대한수학회 · 대한수학회지2016 · 제53권 제5호

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