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

✍ 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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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) βŠ‚ X β†’ X is a densely defined cl

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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