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Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications

✍ Scribed by T. Diagana; C.M. Mahop; G.M. N’Guérékata; B. Toni

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
153 KB
Volume
64
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper is concerned with the existence and uniqueness of pseudo-almost periodic solutions to the class of semilinear differential equations of the form

where -A is the infinitesimal generator of an analytic semigroup acting on a (complex) Banach space X, B : D(B) ⊂ X → X is a densely defined closed linear operator, and f : R × X → X is a jointly continuous function. Under some suitable assumptions on A, B, and f, the existence and uniqueness of a pseudo-almost periodic solution to ( * ) is obtained.

📜 SIMILAR VOLUMES

Existence of weighted pseudo-almost peri
Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with -weighted pseudo-almost periodic coefficients
✍ Toka Diagana; Gisèle M. Mophou; Gaston M. N’Guérékata 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 526 KB

In this paper we introduce the concept of weighted pseudo-almost periodicity in the sense of Stepanov, also called S p -weighted pseudo-almost periodicity and study its properties. Next, we present a result on the existence of weighted pseudo-almost periodic solutions to the N-dimensional heat equat