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Existence results of Sobolev type neutral impulsive integrodi erential equations in Banach spaces

R. Poongodi|R. Murugesu|R.Nirmalkumar
장전수학회 (Jangjeon Mathematical Society)|2018.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제1호|pp. 45-58|DOI 10.17777/pjms.2018.21.1.005

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참고문헌

키워드

ExistenceIntegrodiffererential equationsNeutral equationsImpulsive systemsMild solutionFinite delaySchafer fixed point theorem
주제분류수학

초록

This paper deals with the study of existence of mild solutions of the neutral impulsive integrodifferential equations with finite delay in Banach spaces. The results are obtained via semigroup theory and we use the Schaefer's fixed point theorem to prove the main results. Finally an example is provided to prove the obtained the results.

Abstract

This paper deals with the study of existence of mild solutions of the neutral impulsive integrodifferential equations with finite delay in Banach spaces. The results are obtained via semigroup theory and we use the Schaefer's fixed point theorem to prove the main results. Finally an example is provided to prove the obtained the results.

참고문헌 (19)

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