On global stability of parabolic systems with delay

DOI10.1080/00036819808840646zbMath0904.34054OpenAlexW1989121171MaRDI QIDQ3841680

Michael I. Gil'

Publication date: 19 January 1999

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819808840646

zbMATH Keywords

stabilityabstract differential-delay equationsretarded parabolic systems

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability theory of functional-differential equations (34K20)

Related Items (16)

Boundedness of solutions of nonlinear differential delay equations with positive Green functions and the Aizerman-Myshkis problem ⋮ Stability of linear systems with time-varying delays: a direct frequency domain approach ⋮ Nonnegative Moore--Penrose inverses of Gram operators ⋮ Generalized Aizerman-Myshkis problem for abstract differential-delay equations. ⋮ Explicit Delay-Dependent Stability Criteria for Nonlinear Distributed Parameter Systems ⋮ Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations ⋮ Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space ⋮ Stability of Fredholm type integro-parabolic equations ⋮ On Aizerman-Myshkis problem for systems with delay ⋮ Duality results for the joint spectral radius and transient behavior ⋮ Solution estimates for abstract nonlinear time-variant differential-delay equations ⋮ On invertibility and positive invertibility of matrices ⋮ Output feedback control of discrete linear repetitive processes ⋮ Stability of abstract nonlinear nonautonomous differential--delay equations with unbounded history-responsive operators ⋮ Approximations of zeros of entire functions by zeros of polynomials ⋮ Trichotomies for abstract semilinear differential equations.

Cites Work

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• Qualitative analysis of a coupled reaction-diffusion model in biology with time delays
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• Introduction to functional differential equations
• Rothe’s method to parabolic integra-differential equations via abstract integra-differential equations
• Comparison theorems and uniqueness of mild solutions to semilinear functional differential equations in Banach spaces
• On absolute stability of differential-delay systems
• Stable equilibrium point of some diffusive functional differential equations

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