Measure pseudo almost periodic solutions for differential equations with reflection
Mohsen Miraoui
Abstract
In this research paper, we give some new results for the existence and uniqueness of doubly measure pseudo almost periodic (Or (μ,ν)-pap) solutions for some differential equations with reflection. We will use the Banach fixed-point theorem and some properties of pseudo almost periodic functions with measurements and we will discuss both linear and nonlinear cases. Finally, we finish with some applications to illustrate our results.
Topics & Concepts
MathematicsUniquenessMeasure (data warehouse)Reflection (computer programming)Mathematical analysisNonlinear systemFixed-point theoremBanach spaceBanach fixed-point theoremDifferential equationC0-semigroupDatabaseProgramming languagePhysicsQuantum mechanicsComputer scienceNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsDifferential Equations and Numerical Methods