Existence of solutions to nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces

DOI10.1007/BF02829493zbMath0957.34058MaRDI QIDQ1570009

Kôichi Uchiyama, Krishnan Balachandran

Publication date: 26 March 2001

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

existencesolutionsclosed linear operatorsnormal Cauchy problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Integro-ordinary differential equations (45J05) Nonlinear differential equations in abstract spaces (34G20) General theory of functional-differential equations (34K05) Nonlinear evolution equations (47J35)

Related Items (15)

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via \(\psi\)-Hilfer fractional derivative ⋮ Existence Results for Fractional Integrodifferential Equations of Sobolev Type with Deviating Arguments ⋮ Existence of solutions of abstract fractional integrodifferential equations of Sobolev type ⋮ Nonlocal nonlinear integrodifferential equations of fractional orders ⋮ A class of nonlocal impulsive problems for integrodifferential equations in Banach spaces ⋮ A study of a coupled system of Hadamard fractional differential equations with nonlocal coupled initial-multipoint conditions ⋮ Unnamed Item ⋮ On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces ⋮ Existence results for stochastic semilinear differential inclusions with nonlocal conditions ⋮ A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations ⋮ Nonlocal conditions for lower semicontinuous parabolic inclusions ⋮ Unnamed Item ⋮ Nonlocal initial value problems for Hadamard-type fractional differential equations and inclusions ⋮ Semilinear evolution inclusions with nonlocal conditions ⋮ Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type

Cites Work

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• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space
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