Fundamental operator functions of integro-differential operators under spectral or polynomial boundedness

DOI10.13108/2020-12-2-56zbMath1474.45098OpenAlexW3110109570MaRDI QIDQ5138419

Mikhail Valentinovich Falaleev

Publication date: 3 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa510

zbMATH Keywords

distributionBanach spacegeneralized functionintegro-differential operatorfundamental operator-functionspectral boundednesspolynomial boundedness

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

Cites Work

• Fundamental operator functions of singular differential operators under spectral boundedness conditions
• Linear Sobolev type equations and degenerate semigroups of operators
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
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