Optimal regularity and stability analysis in the \(\alpha-\)norm for a class of partial functional differential equations with infinite delay

DOI10.3934/DCDS.2011.30.115zbMath1219.34098OpenAlexW2040309286MaRDI QIDQ536121

Aziz Ouhinou, Abdelhai El Azzouzi

Publication date: 16 May 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.115

zbMATH Keywords

stabilityessential spectruminfinite delayanalytic semigrouppartial functional differential equationfractional power of operatorsmild and strict solutionsuniform fading memory space

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

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