Existence of solutions of nonlinear abstract neutral integrodifferential equations

DOI10.1016/J.CAMWA.2004.08.002zbMath1083.45005OpenAlexW2089391638MaRDI QIDQ1779573

G. Shija, Jeong-Hoon Kim, Krishnan Balachandran

Publication date: 1 June 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.08.002

zbMATH Keywords

Banach spacecompact semigroupexistence of mild solutionsneutral integro-differential functional equation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (6)

Existence results for abstract neutral functional differential equations ⋮ On \(C^\alpha\)-Hölder classical solutions for non-autonomous neutral differential equations: the nonlinear case ⋮ On existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces ⋮ EXISTENCE RESULTS FOR ABSTRACT DEGENERATE NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Existence results for neutral integro-differential equations with unbounded delay ⋮ Existence of solutions for abstract neutral integro-differential equations with unbounded delay

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