Approximations of Solutions to Abstract Neutral Functional Differential Equation

DOI10.1080/01630563.2011.540153zbMath1215.34095OpenAlexW2072001305WikidataQ115303594 ScholiaQ115303594MaRDI QIDQ3083531

Reeta Shukla Dubey

Publication date: 22 March 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.540153

zbMATH Keywords

mild solutionanalytic semigroupfunctional differential equationcontraction mapping theoremFaedo-Galerkin approximation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Neutral functional-differential equations (34K40) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (6)

Analysis of neutral fractional differential equation via the method of upper and lower solution ⋮ Approximations of solutions of a neutral fractional integro-differential equation ⋮ Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions ⋮ Approximation of Solutions to Fractional Integro-Differential Equations with Finite Delay ⋮ New existence results on nonlocal neutral fractional differential equation in concepts of Caputo derivative with impulsive conditions ⋮ Results on neutral differential equation of Sobolev type with nonlocal conditions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Existence results for partial neutral functional differential equations with unbounded delay
• Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
• Introduction to functional differential equations
• Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
• Global convergence of Faedo-Galerkin approximations to nonlinear wave equations
• Approximation of wave equations with reproducing nonlinearities
• Approximation of solutions to evolution equations
• Approximations of Solutions to Second Order Semilinear Integrodifferential Equations

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