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) β X β X is a densely defined cl
Existence and uniqueness of pseudo-almost periodic solutions to semilinear differential equations and applications
β Scribed by Toka Diagana
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 197 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Under the assumption of uniformly continuity, we establish a composition theorem of pseudo almost-periodic functions in general Banach spaces. As an application, we give some existence theorems of pseudo almost-periodic solutions and mild pseudo almost-periodic solutions for some differential equati
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