On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions

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dc.contributor.authorAl-Zahrani, Eada
dc.contributor.authorAkca, Haydar
dc.contributor.authorCovachev, Valéry
dc.date.accessioned2022-01-06T07:31:19Z
dc.date.accessioned2023-08-19T09:16:20Z
dc.date.available2022-01-06T07:31:19Z
dc.date.available2023-08-19T09:16:20Z
dc.date.issued2004
dc.descriptionIn this paper we study the existence, uniqueness and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear impulsive functionaldifferential evolution equation. Such problems arise in some physical applications as a natural generalization of the classical initial value problems.en_US
dc.description.abstractThe existence, uniqueness and continuous dependence of a mild solution of a semilinear impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.en_US
dc.identifier.citationAkça, H., Covachev, V., & Al-Zahrani, E. (2004). On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions. In Recent Advances in Operator Theory, Operator Algebras, and their Applications (pp. 1-11). Birkhäuser Basel.en_US
dc.identifier.doihttps://doi.org/10.1007/3-7643-7314-8_1
dc.identifier.urihttps://edms.wexl.in/handle/1/2138
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.subjectSemilinearen_US
dc.subjectImpulsiveen_US
dc.subjectFunctional-differential equationsen_US
dc.subjectNonlocal conditionsen_US
dc.subjectMild solutionen_US
dc.titleOn existence of solutions of semilinear impulsive functional differential equations with nonlocal conditionsen_US
dc.title.alternativeRecent Advances in Operator Theory, Operator Algebras, and their Applicationsen_US
dc.typeArticleen_US

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