A singularly perturbed second order evolution equation with nonlocal nonlinearity

DOI10.1080/01630568708816269zbMath0619.35012OpenAlexW2001776608MaRDI QIDQ3755831

Benjamin F. jun. Esham

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/01630568708816269

zbMATH Keywords

uniquenessHilbert spacelocal existencestrong solutionsapproximationsecond order evolution equationFaedo-Galerkin approximationsSchauder techniqueBanach's contraction mappingpositive definite self-adjoint

Mathematics Subject Classification ID

Related Items (3)

Singular perturbation of a nonlinear time-dependent problem in hilbert space ⋮ Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Galerkin methods for a singularly perturbed hyperbolic problem with nonlocal nonlinearity

Cites Work

• Unnamed Item
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Hyperbolic-parabolic singular perturbations for scalar nonlinearities
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations

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