Existence and uniqueness of mild and strong solutions of nonlinear integro-differential equations with nonlocal condition

Publication date: 18 March 2002

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

existence uniqueness nonlinear integro-differential equations Banach fixed point theorem method of semigroups mild and strong solutions nonlocal initial condition

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 (9)

Nonlocal Cauchy problem for abstract fractional semilinear evolution equations ⋮ Global existence of mild solutions of second order nonlinear Volterra integrodifferential equations in Banach spaces ⋮ Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition. ⋮ Mild solution in the \(\alpha\)-norm for some partial integrodifferential equations involving a nonlocal condition ⋮ Analysis of Volterra integrodifferential equations with nonlocal and boundary conditions via Picard operator ⋮ Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions ⋮ Unnamed Item ⋮ Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions ⋮ Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces

This page was built for publication: Existence and uniqueness of mild and strong solutions of nonlinear integro-differential equations with nonlocal condition