HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

Processus Weyl presque périodique et équations différentielles stochastiques

Abstract : The thesis deals essentialy with a class of abstract dfferential equations with Weyl almost periodic coefficients, and comprises two part. The first part is devoted to the deterministic problems, in a first step, we study the existence and uniqueness of bounded Weyl almost periodic solution to the linear abstract differential equation u’ (t) = Au(t) + f(t); t ∈ R; in a Banach space X, where A : D(A) ⊂ X → X is a linear (unbounded) operator which generates an exponentially stable C0-semigroup on X and f : R → X is a Weyl almost periodic function. Finally, in a second step, always in the same frame, we consider the semi-linear differential equation u’ (t) = Au(t) + f(t; u(t)); t ∈ R ; where f(t; u) is a Weyl almost periodic in t ∈ R; uniformly with respect compact subsets of X. The second part, is concerned with the stochastic case. Precisely, we examine the existence and uniqueness of Weyl almost periodic solution in law to the abstract semilinear stochastic evolution equation on a Hilbert separable space.
Document type :
Complete list of metadata

Cited literature [30 references]  Display  Hide  Download

Contributor : Abes Star :  Contact
Submitted on : Tuesday, June 30, 2020 - 12:30:09 PM
Last modification on : Wednesday, November 3, 2021 - 8:13:56 AM


Version validated by the jury (STAR)


  • HAL Id : tel-02885035, version 1


Youcef Ibaouene. Processus Weyl presque périodique et équations différentielles stochastiques. Analyse numérique [math.NA]. Normandie Université; Université Mouloud Mammeri (Tizi-Ouzou, Algérie), 2019. Français. ⟨NNT : 2019NORMR120⟩. ⟨tel-02885035⟩



Record views


Files downloads