Measure pseudo-almost periodic solutions in the \(\alpha\)-norm to some neutral partial differential equations with delay

DOI10.1007/s00009-016-0694-8zbMath1371.34110OpenAlexW2318286138MaRDI QIDQ350227

Khalil Ezzinbi, Amor Rebey, Mohsen Miraoui

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0694-8

zbMATH Keywords

infinite delayergodic\(\mu\)-pseudo almost periodic functionneutral partial differential equation

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) Almost and pseudo-almost periodic solutions to PDEs (35B15) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

Dynamics and oscillations of models for differential equations with delays ⋮ Asymptotic behavior of solution for functional evolution equations with Stepanov forcing terms

Cites Work

• Measure theory and pseudo almost automorphic functions: new developments and applications
• Existence and stability in the \(\alpha \)-norm for some partial functional differential equations with infinite delay
• Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of partial evolution equations
• Superposition operators between various almost periodic function spaces and applications
• Semigroups of linear operators and applications to partial differential equations
• Functional differential equations with infinite delay
• Almost periodic solutions to abstract retarded functional differential equations with unbounded delay
• Weighted pseudo-almost periodic solutions to some differential equations
• Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations
• Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
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