Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis

DOI10.1007/s11766-018-3449-4zbMath1399.34225OpenAlexW2791491302WikidataQ115377810 ScholiaQ115377810MaRDI QIDQ1747379

P. Indhumathi, A. Leelamani

Publication date: 8 May 2018

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-018-3449-4

zbMATH Keywords

neutral equationsemigroup of linear operatorsBanach's contraction principleLeray Schauder alternative

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

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Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters

Cites Work

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• Existence results for an impulsive abstract partial differential equation with state-dependent delay
• Existence results for abstract neutral functional differential equations
• Existence results for impulsive neutral functional differential equations with state-dependent delay
• Analytic semigroups and optimal regularity in parabolic problems

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