Measure (ω, c)-pseudo almost periodic functions and Lasota-Wazewska model with ergodic and unbounded oscillating oxygen demand - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Abstract and Applied Analysis Année : 2022

Measure (ω, c)-pseudo almost periodic functions and Lasota-Wazewska model with ergodic and unbounded oscillating oxygen demand

Résumé

The primary aim of this work is to introduce a new class of functions called µ-(ω, c)-pseudo almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those µ-(ω, c)-pseudo almost periodic functions including two new composition results which play a crucial role for the existence of some µ-(ω, c)-pseudo almost periodic solutions of certain semilinear differential equations and partial differential equations. We also investigate the existence and uniqueness of the µ-(ω, c)pseudo almost periodic solutions for some models of Lasota-Wazewska equation with measure (ω, c)-pseudo almost periodic coefficient and mixed delays.
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Dates et versions

hal-03656239 , version 1 (02-05-2022)
hal-03656239 , version 2 (04-05-2022)

Identifiants

Citer

James Larrouy, Gaston N’guérékata. Measure (ω, c)-pseudo almost periodic functions and Lasota-Wazewska model with ergodic and unbounded oscillating oxygen demand. Abstract and Applied Analysis, 2022, 2022, pp.1-18. ⟨10.1155/2022/9558928⟩. ⟨hal-03656239v2⟩
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