μ-Pseudo Almost Periodic and Automorphic Solutions in the α-Norm for Some Partial Functional Differential Equations

DOI10.1080/01630563.2015.1042273zbMath1336.34105OpenAlexW1551502759MaRDI QIDQ3453790

Khalil Ezzinbi, Mohsen Miraoui

Publication date: 30 November 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1042273

zbMATH Keywords

partial functional differential equationspseudo-almost periodic functionpseudo-almost automorphic function

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (7)

Dynamics and oscillations of models for differential equations with delays ⋮ The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays ⋮ Translation invariance and related properties of \(\mu\)-pseudo almost automorphic (periodic) functions with application ⋮ Strongly damped wave equations with Stepanov type nonlinear forcing term ⋮ Measure Pseudo Almost Periodic Solutions of Shunting Inhibitory Cellular Neural Networks with Mixed Delays ⋮ Asymptotic behavior of solution for functional evolution equations with Stepanov forcing terms ⋮ New results for a Lasota–Wazewska model

Cites Work

• Measure theory and pseudo almost automorphic functions: new developments and applications
• Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
• The existence of pseudo-almost periodic solutions for some nonlinear differential equations in Banach spaces
• Weighted pseudo almost automorphic functions and applications to abstract differential equations
• Semigroups of linear operators and applications to partial differential equations
• Pseudo almost periodic solutions of some delay differential equations
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence
• Weighted pseudo-almost periodic solutions to some differential equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
• Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations
• Almost Periodic and Pseudo Almost Periodic Mild Solutions to a Partial Differential Equation VIA Fractional Operators
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
• Pseudo almost periodic solutions for some differential equations in a banach space

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