Further properties of Stepanov--Orlicz almost periodic functions

DOI10.14712/1213-7243.2020.030zbMath1474.34279OpenAlexW3114521101MaRDI QIDQ5140432

Yousra Djabri, Fatiha Boulahia, Fazia Bedouhene

Publication date: 15 December 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.030

zbMATH Keywords

Nemytskii operatorsemilinear evolution equationsBochner transformBohr almost periodicStepanov-Orlicz almost periodic function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (1)

Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm

Cites Work

• On quadratic integral equations in Orlicz spaces
• Orlicz spaces and modular spaces
• Bochner's theorem and Stepanov almost periodic functions
• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
• Integrate-and-fire models with an almost periodic input function
• Best approximants in modular function spaces
• On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations
• Behavior of bounded solutions for some almost periodic neutral partial functional differential equations
• On Stepanov almost-periodic oscillations and their discretizations
• On the Stepanov-almost periodic solution of a second-order operator differential equation
• Some remarks on almost periodic functions in view of the Lebesgue measure with applications to linear differential equations
• An Existence Result for Stepanoff Almost-Periodic Differential Equations
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