On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces

DOI10.1515/JAA.2000.105zbMath0961.34069MaRDI QIDQ4495011

Byoung Jae Jin, Jong Kyu Kim

Publication date: 10 August 2000

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessglobal limit solutions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Evolution inclusions (34G25)

Cites Work

• Existence of solutions and Galerkin approximations for nonlinear functional evolution equations
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• On the construction and the convergence of the method of lines for quasi-nonlinear functional evolutions in general banach spaces
• On integral solutions on nonautonomous delay equations and their propagation
• Ranges of Perturbed Maximal Monotone and m-Accretive Operators in Banach Spaces

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