Resolvents of operators and partial functional differential equations with nonautonomous past.

DOI10.1016/j.jmaa.2003.09.060zbMath1063.47033OpenAlexW2008095897MaRDI QIDQ1419782

Nguyen Thieu Huy

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.060

zbMATH Keywords

exponential stabilityexistence of solutionsexponential dichotomyevolution semigroupsfunctional differential equationsresolvents of operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)

Related Items (5)

Spectrum and resolvent of a partial integral operator ⋮ Hyperbolicity of solution semigroups for linear neutral differential equations ⋮ Partial differential equations with nonautonomous past in Favard spaces ⋮ A population dynamics model with nonautonomous past ⋮ Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line

Cites Work

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• One-Parameter Semigroups for Linear Evolution Equations
• Extrapolation methods to solve non-autonomous retarded partial differential equations
• Analytic semigroups and optimal regularity in parabolic problems
• Asymptotically autonomous parabolic evolution equations.
• Non-autonomous Miyadera perturbations
• Characterizations of dichotomies of evolution equations on the half-line

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