Mild solutions for some nonautonomous partial functional differential equations with infinite delay

DOI10.1007/s13370-018-0608-yzbMath1413.35279OpenAlexW2811226204WikidataQ129490868 ScholiaQ129490868MaRDI QIDQ1715766

Moussa El-Khalil Kpoumiè, Khalil Ezzinbi, Mohamed Sofiane Alia

Publication date: 29 January 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0608-y

zbMATH Keywords

stability conditionsmild solutionsinfinite delaydistributed delayevolution familydiscrete delayvariation of constants formulanonautonomous equations

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35K99)

Cites Work

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• Integrated semigroups
• Semigroups of linear operators and applications to partial differential equations
• Vector-valued Laplace transforms and Cauchy problems
• A unified approach to abstract linear nonautonomous parabolic equations
• Functional differential equations with infinite delay
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Non autonomous evolution operators of hyperbolic type
• Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces
• Quasilinear evolution equations with non-densely defined operators
• Advanced functional evolution equations and inclusions
• Existence and Stability for Partial Functional Differential Equations
• One-Parameter Semigroups for Linear Evolution Equations
• Semilinear equations in the “hyperbolic” case
• Generation of linear evolution operators
• Evolution operators generated by non‐densely defined operators
• Existence of a periodic solution for some partial functional differential equations with infinite delay
• Existence for a class of partial functional differential equations with infinite delay
• Local existence and stability for some partial functional-differential equations with infinite delay

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