Approximations of Solutions to Second Order Semilinear Integrodifferential Equations

DOI10.1081/NFA-120022929zbMath1031.65151OpenAlexW2017028814MaRDI QIDQ4412390

Dhirendra Bahuguna, Reeta Shukla

Publication date: 14 July 2003

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

Full work available at URL: https://doi.org/10.1081/nfa-120022929

zbMATH Keywords

convergenceprojection operatorsHilbert spaceFaedo-Galerkin methodabstract second-order semilinear integrodifferential equationviscoelastic materials with memory

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Nonlinear constitutive equations for materials with memory (74D10) Abstract integral equations, integral equations in abstract spaces (45N05)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• APPROXIMATIONS OF SOLUTIONS TO SEMILINEAR INTEGRODIFFERENTIAL EQUATIONS
• Global convergence of Faedo-Galerkin approximations to nonlinear wave equations
• Approximation of wave equations with reproducing nonlinearities
• Approximation of solutions to evolution equations