Remarks on semilinear partial functional-differential equations with infinite delay

DOI10.1016/0022-247X(81)90104-9zbMath0482.35079MaRDI QIDQ1162660

Konrad Schumacher

Publication date: 1981

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

zbMATH Keywords

regularitystrongly continuous semigroupmild solutioninfinite delaystrict solutionscontinuous dependencerelative compactness of bounded orbitsabstract semilinear equationweakened solutions

Mathematics Subject Classification ID

Related Items (8)

A class of strongly nonlinear functional differential equations ⋮ Comparison theorems and uniqueness of mild solutions to semilinear functional differential equations in Banach spaces ⋮ A class of quasilinear parabolic equations with infinite delay and application to a problem of viscoelasticity ⋮ Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces ⋮ Stability analysis for equilibria in age-specific population dynamics ⋮ Invariance Results for Delay and Volterra Equations in Fractional Order Sobolev Spaces ⋮ Existence and continuous dependence results for semilinear functional differential inclusions with infinite delay ⋮ On the resolvent of linear nonautonomous partial functional differential equations

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