Convergence of the Kato approximants for evolution equations involving functional perturbations

DOI10.1016/0022-0396(83)90041-4zbMath0531.34048OpenAlexW2072877571MaRDI QIDQ788183

Mary E. Parrott, Athanassios G. Kartsatos

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90041-4

zbMATH Keywords

uniformly smooth Banach spaceYosida approximationnonlinear functional differential equationm-accretive operator

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20)

Related Items (10)

The weak solution of a functional differential equation in a general Banach space ⋮ Asymptotic behavior of solutions to a class of Volterra integrodifferential equations ⋮ Flow invariance for solutions to nonlinear nonautonomous partial differential delay equations ⋮ A Method of Lines for a Nonlinear Abstract Functional Evolution Equation ⋮ Nonlinear partial functional differential equations: Existence and stability ⋮ Method of Lyapunov functionals construction in stability of delay evolution equations ⋮ Functional evolution equations involving time dependent maximal monotone operators in Banach spaces ⋮ Existence of solutions and Galerkin approximations for nonlinear functional evolution equations ⋮ Representation and approximation of generalized solutions of a nonlinear functional differential equation ⋮ Periodic solutions to functional evolution equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On semigroups of nonlinear operators and the solution of the functional differential equation \(\dot x(t)=F(x_t)\)
• Rothe's method and weak solutions of perturbed evolution equations in reflexive Banach spaces
• Nonlinear semigroups of translations in Banach space generated by functional differential equations
• Perturbations of M-accretive operators and quasi-linear evolution equations
• Nonlinear Volterra equations with infinite delay
• Representation and approximation of solutions to semilinear Volterra equations with delay
• Autonomous nonlinear functional differential equations and nonlinear semigroups
• Functional differential equations and nonlinear semigroups in \(L^p\) spaces
• Nonlinear semigroups and evolution equations
• Semigroups of translations associated with functional and functional differential equations
• Nonlinear nonautonomous functional differential equations in Lp spaces
• Existence and Stability for Partial Functional Differential Equations
• Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
• A Nonlinear Semigroup for a Functional Differential Equation
• 20.—Functional Differential Equations and Non-linear Evolution Operators
• Nonlinear evolution equations in Banach spaces

This page was built for publication: Convergence of the Kato approximants for evolution equations involving functional perturbations