μ-Pseudo-Almost Automorphic Solutions for some Differential Equations with Reflection of the Argument

DOI10.1080/01630563.2017.1279175zbMath1369.34093OpenAlexW2573298726MaRDI QIDQ2987805

Mohsen Miraoui

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1080/01630563.2017.1279175

zbMATH Keywords

ergodicitypseudo-almost automorphicpositive measurefixed-point methodsreflection of the argument

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Applications of operator theory to differential and integral equations (47N20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (12)

On the differential equations of recurrent neural networks ⋮ Dynamics and oscillations of models for differential equations with delays ⋮ On the stochastic evolution equation driven by Brownian motion in a separable space ⋮ The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays ⋮ Existence and exponential stability of the piecewise pseudo almost periodic mild solution for some partial impulsive stochastic neutral evolution equations ⋮ On the differential equations with piecewise constant argument ⋮ Stability of unique pseudo almost periodic solutions with measure. ⋮ Measure Pseudo Almost Periodic Solutions of Shunting Inhibitory Cellular Neural Networks with Mixed Delays ⋮ New results for some neutral partial functional differential equations ⋮ Measure pseudo almost periodic solutions for differential equations with reflection ⋮ New results for a Lasota–Wazewska model ⋮ Existence Results for Integro-Differential Equations with Reflection

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
• Compositions of pseudo almost automorphic functions via measure theory and applications
• Some new results on bounded solutions to a semilinear integro-differential equation in Banach spaces
• Boundary value problems for differential equations with reflection of the argument
• Bounded solutions for differential equations with reflection of the argument
• Pseudo almost periodic solutions of some differential equations
• Pseudo almost automorphic solutions for differential equations involving reflection of the argument
• Weighted pseudo-almost periodic solutions to some differential equations
• Dichotomies and reducibility
• Existence and uniqueness theorems for boundary value problems involving reflection of the argument
• PSEUDO ALMOST PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS INVOLVING REFLECTION OF THE ARGUMENT
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications

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