Linearized Stability and Irreducibility for a Functional Differential Equation

DOI10.1137/0523033zbMath0763.34058OpenAlexW2083281320WikidataQ115247142 ScholiaQ115247142MaRDI QIDQ4032573

Mary E. Parrott

Publication date: 1 April 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523033

zbMATH Keywords

principle of linearized stabilitypopulation equationBanach space valued nonlinear functional differential equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Groups and semigroups of linear operators (47D03) Positive linear operators and order-bounded operators (47B65)

Related Items (19)

Lipschitzian semigroups and abstract functional differential equations ⋮ Linearized Stability for Nonlinear Partial Differential Delay Equations ⋮ Some results on the stability and bifurcation of stationary solutions of delay-diffusion equations ⋮ Flow invariance for nonlinear partial differential delay equations ⋮ Global dynamics for a reaction-diffusion equation with time delay ⋮ Hopf bifurcation in a generalized logistic reaction-diffusion population model with instantaneous and delayed feedback ⋮ Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence ⋮ Hopf bifurcation in a reaction-diffusion-advection model with two nonlocal delayed density-dependent feedback terms ⋮ Partial functional differential equations and Conley index ⋮ On a class of PDEs with nonlinear distributed in space and time state‐dependent delay terms ⋮ Positivity and stability for nondensely defined partial neutral functional differential equations ⋮ Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor ⋮ Existence and stability of steady-state solutions of reaction-diffusion equations with nonlocal delay effect ⋮ A partial functional differential equation ⋮ On the principle of pseudo-linearized stability: Applications to some delayed nonlinear parabolic equations ⋮ ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK ⋮ Existence results for partial neutral functional differential equations with unbounded delay ⋮ Bifurcation analysis in a diffusive logistic population model with two delayed density-dependent feedback terms ⋮ Delay independent stability for some partial functional differential equations with infinite delay under the light of positivity

This page was built for publication: Linearized Stability and Irreducibility for a Functional Differential Equation