Local existence of integral solutions via compactness methods for nonlinear functional differential equations in \(L^p\) spaces

DOI10.1016/S0362-546X(99)00403-4zbMath0998.34065MaRDI QIDQ5946007

Ki Sik Ha, Ki-Yeon Shin

Publication date: 18 November 2002

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

zbMATH Keywords

accretive operatorcompactness methodintegral solutionnonlinear functional-differential equationSchauder's fixed-point theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Functional-differential equations in abstract spaces (34K30)

Related Items (2)

Existence and continuous dependence results for nonlinear differential inclusions with infinite delay ⋮ Existence results for nonlinear functional evolution equations with delay conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential inclusions governed by non convex perturbations of \(m\)- accretive operators
• Existence of solutions of nonlinear functional integro-differential equations in Banach spaces
• Solvability of functional evolutions via compactness methods in general Banach spaces
• On the construction and the convergence of the method of lines for quasi-nonlinear functional evolutions in general banach spaces
• Local existence theorems for nonlinear differential equations and compactness of integral solutions in Lp(0, T;X)

This page was built for publication: Local existence of integral solutions via compactness methods for nonlinear functional differential equations in \(L^p\) spaces