On exponential growth estimates for solutions of ill-posed integrodifferential initial-history value problems

DOI10.1016/0022-247X(81)90010-XzbMath0492.45012OpenAlexW2079651016MaRDI QIDQ1167903

Frederick Bloom

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90010-x

zbMATH Keywords

exponential growth estimatesintegrodifferential initial-history value problems

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Electromagnetic theory (general) (78A25) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Growth estimates for solutions to initial-boundary value problems in viscoelasticity
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Stability and growth estimates for Volterra integrodifferential equations in Hilbert space
• Remarks on the Asymptotic Behavior of Solutions to Damped Evolution Equations in Hilbert Space

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