On the resolvent of linear nonautonomous partial functional differential equations

DOI10.1016/0022-0396(85)90146-9zbMath0564.34068OpenAlexW2032956453MaRDI QIDQ1058050

Konrad Schumacher

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90146-9

zbMATH Keywords

fundamental solutionphase spaceinfinite delayrelaxation propertyvariation of parameters formulanonautonomous linear partial differential equationsresolvent-operatorsolution-operator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) General theory of functional-differential equations (34K05)

Related Items (4)

Parabolic evolution equations with asymptotically autonomous delay ⋮ The principal eigenvalue for partially degenerate and periodic reaction-diffusion systems with time delay ⋮ Stochastic functional differential equations of Sobolev-type with infinite delay ⋮ Resolvent operator for abstract functional differential equations with infinite delay

Cites Work

• A modified form of the variation-of-constants formula for equations with infinite delay
• Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups
• Some considerations to the fundamental theory of infinite delay equations
• Remarks on semilinear partial functional-differential equations with infinite delay
• On linear autonomous retarded equations with an abstract phase space for infinite delay
• Variation of constants formulas for partial differential equations with delay
• Resolvent Operators for Integral Equations in a Banach Space
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