Existence of solutions and Galerkin approximations for nonlinear functional evolution equations

DOI10.2748/tmj/1178229153zbMath0553.65040OpenAlexW1971509623MaRDI QIDQ802283

Athanassios G. Kartsatos, Mary E. Parrott

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229153

zbMATH Keywords

convergenceGalerkin methodBanach spacelocal solutionm-accretive operatorabstract nonlinear functional evolution equation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Regular solutions to quasilinear integrodifferential equations in banach spaces ⋮ The weak solution of a functional differential equation in a general Banach space ⋮ The existence of bounded solutions on the real line of perturbed nonlinear evolution equations in general Banach spaces ⋮ Quasilinear integrodifferential equations in Banach spaces ⋮ Flow invariance for solutions to nonlinear nonautonomous partial differential delay equations ⋮ Nonlinear partial functional differential equations: Existence and stability ⋮ Method of Lyapunov functionals construction in stability of delay evolution equations ⋮ On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces ⋮ Periodic solutions to functional evolution equations

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