Existence, uniqueness, and continuity for integral equations in a Banach space

DOI10.1016/0022-247X(77)90270-0zbMath0354.45006OpenAlexW2006124432MaRDI QIDQ1236746

Ronald Grimmer, Richard K. Miller

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90270-0

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Groups and semigroups of linear operators (47D03) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (10)

Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces ⋮ Analytic resolvent semilinear integro‐differential systems: Existence and optimal control ⋮ Integral equations as evolution equations ⋮ Linear integro-differential equations in Banach spaces ⋮ Resolvent Operators for Integral Equations in a Banach Space ⋮ Nonlinear Volterra integrodifferential equations in a Banach space ⋮ Asymptotic behaviour of resolvents of abstract Volterra equations ⋮ Analytic resolvent operators for integral equations in Banach space ⋮ On the quadratic optimal control problem for Volterra integro- differential equations ⋮ Existence and regularity for a class of integrodifferential equations of parabolic type

Cites Work

• Nonlinear Volterra Equations in a Hilbert Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence, uniqueness, and continuity for integral equations in a Banach space