Positivity and a principle of linearized stability for delay-differential equations

zbMath0723.34062MaRDI QIDQ757713

Mary E. Parrott

Publication date: 1989

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Banach spaceprinciple of linearized stabilityabstract delay differential equationpositive linear semigroups

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Groups and semigroups of linear operators (47D03)

Related Items (10)

Linearized stability of semilinear delay equations in fractional power spaces ⋮ Lipschitzian semigroups and abstract functional differential equations ⋮ Linearized Stability for Nonlinear Partial Differential Delay Equations ⋮ Flow invariance for nonlinear partial differential delay equations ⋮ Positivity and stability for nondensely defined partial neutral functional differential equations ⋮ Flow invariance for solutions to nonlinear nonautonomous partial differential delay equations ⋮ Local existence and stability for some partial functional-differential equations with infinite delay ⋮ A Principle of Linearized Stability for Nonlinear Evolution Equations ⋮ Delay independent stability for some partial functional differential equations with infinite delay under the light of positivity ⋮ Instability of equilibria in some delay reaction-diffusion systems

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