Stability and growth estimates for Volterra integrodifferential equations in Hilbert space

DOI10.1090/S0002-9904-1976-14127-4zbMath0329.45016MaRDI QIDQ4095380

Frederick Bloom

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (8)

Unnamed Item ⋮ Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory ⋮ On exponential growth estimates for solutions of ill-posed integrodifferential initial-history value problems ⋮ On `type' conditions for generic real submanifolds of \(\mathbb{C}^n\) ⋮ On``type conditions for generic real submanifolds of \(\mathbb{C}^n\) ⋮ Lower bounds for solutions to a class of nonlinear integrodifferential equations in hilbert space ⋮ Stability and growth estimates for electric fields in non-conducting material dielectrics ⋮ On the nonexistence of globally bounded solutions to initial-history value problems for integrodifferential equations^†

Cites Work

• Growth estimates for solutions to initial-boundary value problems in viscoelasticity
• On stability in linear viscoelasticity
• An abstract Volterra equation with applications to linear viscoelasticity
• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics

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