Asymptotic behaviour of solutions of linear integro-differential equations

DOI10.1007/BF01682739zbMath0404.45015OpenAlexW2002483442MaRDI QIDQ1256685

Hans Grabmüller

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1007/bf01682739

zbMATH Keywords

ExistenceUniquenessInitial Value ProblemAsymptotic BehaviorMaterials with MemoryApplications to Heat ConductionIntegro-Ordinary Differential Equations in Banach Space

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Linear differential equations in abstract spaces (34G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Semilinear integrodifferential equations in Banach space, Equations with unbounded delay: a survey

Cites Work

• Asymptotic behavior for a linear Volterra integral equation in Hilbert space
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• On linear theory of heat conduction in materials with memory. Existence and uniqueness theorems for the final value problem
• On heat conduction in materials with memory
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