Hyperbolic integro-differential equations of convolution type

DOI10.1007/BF01682673zbMath0422.35051MaRDI QIDQ1133677

Hans Grabmüller

Publication date: 1979

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Wiener-Hopf techniquesspectral setconvolution operatorexistence and uniqueness of solutionsKrein spacesabstract initial-value problemDunford-Taylor integral

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Initial value problems for linear higher-order PDEs (35G10) Abstract integral equations, integral equations in abstract spaces (45N05) Hyperbolic equations and hyperbolic systems (35L99) Higher-order parabolic equations (35K25)

Related Items (3)

Cosine Families of Unbounded Operators ⋮ Exact controllability in viscoelasticity of fading memory type ⋮ A note on linear hyperbolic evolution equations

Cites Work

• Asymptotic behavior for a linear Volterra integral equation in Hilbert space
• A note on linear hyperbolic evolution equations
• On linear theory of heat conduction in materials with memory. Existence and uniqueness theorems for the final value problem
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