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Existence results for semilinear differential equations
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In this paper we prove the existence of mild solutions forsemilinear differential equations in a Banach space. The resultsare obtained by using the semigroup theory and the Schaefer fixedpoint theorem. An example is provided to illustrate the theory.
Abstract
In this paper we prove the existence of mild soultions for semilinear differential equations in a Banach space. The results are obtained by using the semigroup theory and the Schaefer fixed point theorem. An example is provided to illustrate the theory
관련 논문AI추천
REGULARITY OF SOLUTIONS OF ABSTRACT QUASILINEAR DELAY INTEGRODIFFERENTIAL EQUATIONS박동근, Francis Paul Samuel, Krishnan Balachandran대한수학회 · 대한수학회지2011 · 제48권 제3호Existence of solutions of quasilinear integrodifferential evolution equations in Banach spacesDong Gun Park, Krishnan Balachandran대한수학회 · 대한수학회보2009 · 제46권 제4호Existence results of Sobolev type neutral impulsive integrodi erential equations in Banach spacesR. Murugesu, R.Nirmalkumar, R. Poongodi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호Existence of solutions for nonlinear evolution equations with infinite delayGang Li, Qixiang Dong대한수학회 · 대한수학회보2014 · 제51권 제1호Existence and Regularity for Semilinear Neutral Differential Equations in Hilbert Spaces정진문영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호Semilinear nonlocal differential equations with delay terms정진문, 천수진대한수학회 · 대한수학회지2013 · 제50권 제3호
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