Pseudo almost automorphic solutions for some partial functional differential equations with infinite delay

DOI10.1080/00036810802140681zbMath1152.34056OpenAlexW2063159054MaRDI QIDQ3518694

Khalil Ezzinbi, Gaston Mandata N'Guérékata, Samir Fatajou

Publication date: 11 August 2008

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

Full work available at URL: https://doi.org/10.1080/00036810802140681

zbMATH Keywords

exponential dichotomyinfinite delayHille-Yosida conditionintegral solutionfading memory spacepseudo almost automorphic solutionc\(_{0}\)-semigroup

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30)

Related Items (6)

Almost periodic solutions of partial differential equations with delay ⋮ Periodic solutions of abstract functional differential equations with infinite delay ⋮ Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay ⋮ Pseudo almost automorphic solutions of some nonlinear integro-differential equations ⋮ Periodic solutions of a fractional neutral equation with finite delay ⋮ Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces

Cites Work

• Massera type theorem for almost automorphic solutions of functional differential equations of neutral type
• Almost automorphic solutions for some partial functional differential equations
• On some classes of almost periodic functions in abstract spaces
• Behavior near hyperbolic stationary solutions for partial functional differential equations with infinite delay
• Topics in Almost Automorphy
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
• Existence of a periodic solution for some partial functional differential equations with infinite delay
• Local existence and stability for some partial functional-differential equations with infinite delay

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