Nonlinear partial functional differential equations: Existence and stability
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Publication:5952257
DOI10.1006/jmaa.2001.7545zbMath0991.35098OpenAlexW2049746289MaRDI QIDQ5952257
Publication date: 19 February 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/0f39096638086907c0b23a813da6acba5de62f1a
existenceuniquenessexponential stabilityvariational approachfinite delaynonlinear functional differential equationsnonlinear monotone and coercive operators
Partial functional-differential equations (35R10) Stability theory of functional-differential equations (34K20)
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Cites Work
- Exponential stability of nonlinear differential delay equations
- Representation and control of infinite dimensional systems. Volume I
- Convergence of the Kato approximants for evolution equations involving functional perturbations
- Existence of solutions and Galerkin approximations for nonlinear functional evolution equations
- Asymptotic behavior of solutions to a class of Volterra integrodifferential equations
- On a semilinear Volterra integrodifferential equation
- An abstract nonlinear Volterra integrodifferential equation
- Introduction to functional differential equations
- Autonomous nonlinear functional differential equations and nonlinear semigroups
- Existence and stability of solutions to partial functional-differential equations with delay
- Theory and applications of partial functional differential equations
- Functional differential equations and nonlinear semigroups in \(L^p\) spaces
- Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Existence and Stability for Partial Functional Differential Equations
- Asymptotic Stability for Abstract Nonlinear Functional Differential Equations
- On the construction of methods of lines for functional evolutions in general Banach spaces
- Sur les perturbations des équations d'évolution : application à des problèmes de retard
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