Operator Semigroups for Functional Differential Equations with Delay

DOI10.2307/2154579zbMath0794.34067OpenAlexW4255902898MaRDI QIDQ4286805

Wolfgang M. Ruess, William H. Summers

Publication date: 12 April 1994

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

Full work available at URL: https://doi.org/10.2307/2154579

zbMATH Keywords

Banach spaceGoodwin oscillatorpopulation equationmultivalued accretive operatorsCrandall-Liggett semigroup theoryfunctional differential delay equation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Population dynamics (general) (92D25) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20)

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Linearized Stability for Nonlinear Partial Differential Delay Equations ⋮ Flow invariance for nonlinear partial differential delay equations ⋮ Well‐posedness for fully nonlinear functional differential equations ⋮ Persistence of bacteria and phages in a chemostat ⋮ On nonautonomous functional differential equations ⋮ Global attractor for a class of functional differential inclusions with Hille-Yosida operators ⋮ Existence and global asymptotic behavior of \(S\)-asymptotically \(\omega\)-periodic solutions for evolution equation with delay ⋮ Flow invariance for solutions to nonlinear nonautonomous partial differential delay equations ⋮ Semigroup approach to semilinear partial functional differential equations with infinite delay ⋮ Existence of periodic solutions for hybrid evolution equation with delay in partially ordered Banach spaces ⋮ Flow invariance for differential delay equations ⋮ Monotone iterative technique for S-asymptotically periodic problem of fractional evolution equation with finite delay in ordered Banach space ⋮ Existence of positive S-asymptotically periodic solutions of the fractional evolution equations in ordered Banach spaces

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