On a nonlinear integrodifferential equation in Banach space

zbMath0668.45011MaRDI QIDQ1118125

S. H. Smith

Publication date: 1988

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsuniquenesssemigrouplocal existenceBanach spacecontraction mapping techniques

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation ⋮ Controllability of nonlinear integrodifferential systems in Banach space ⋮ Existence of periodic solutions for abstract neutral nonautonomous equations with infinite delay ⋮ Controllability of Sobolev-type integrodifferential systems in Banach spaces ⋮ On existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces

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