Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval

DOI10.1016/j.na.2011.07.050zbMath1235.34203OpenAlexW2065088846MaRDI QIDQ642595

Adel Jawahdou

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.050

zbMATH Keywords

measure of noncompactnessmild solutionsTikhonov fixed point theoremsemilinear integrodifferential equations

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Integro-ordinary differential equations (45J99)

Related Items (8)

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces ⋮ Stability of mild solutions of the fractional nonlinear abstract Cauchy problem ⋮ Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities ⋮ Fractional Cauchy problem with memory effects ⋮ Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces ⋮ Initial value problem of fractional integro-differential equations in Banach space ⋮ Local attractivity for integro-differential equations with noncompact semigroups ⋮ Mild solutions of fractional evolution equations on an unbounded interval

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• An existence theorem for a class of infinite systems of integral equations
• Perturbation of linear abstract Volterra equations
• On solutions of a quadratic integral equation of Hammerstein type
• On existence theorems for differential equations in Banach spaces
• Volterra integral and differential equations

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