THE NON-LOCAL CAUCHY PROBLEM FOR SEMILINEAR INTEGRODIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

DOI10.1017/S0013091598001060zbMath0985.45010OpenAlexW1982826158MaRDI QIDQ2716977

M. Chandrasekaran, Krishnan Balachandran

Publication date: 29 May 2002

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091598001060

zbMATH Keywords

contraction mapping principlesemigroupdeviating argumentBanach spaceclassical solutionmild solutionresolvent operatorexistence and uniquenessmethod of semigroupsnonlocal Cauchy problemsemilinear integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Groups and semigroups of linear operators (47D03) Abstract integral equations, integral equations in abstract spaces (45N05) Nonlinear evolution equations (47J35)

Related Items (7)

On abstract differential equations with state dependent non-local conditions ⋮ Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces ⋮ A class of nonlocal impulsive problems for integrodifferential equations in Banach spaces ⋮ Analytic resolvent semilinear integro‐differential systems: Existence and optimal control ⋮ Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative ⋮ Regularity of solutions of evolution integrodifferential equations with deviating argument ⋮ The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

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