Existence results for a class of semilinear nonlocal evolution equations (Q2910837)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Existence results for a class of semilinear nonlocal evolution equations |
scientific article; zbMATH DE number 6081159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for a class of semilinear nonlocal evolution equations |
scientific article; zbMATH DE number 6081159 |
Statements
Existence results for a class of semilinear nonlocal evolution equations (English)
0 references
11 September 2012
0 references
nonlocal initial condition
0 references
semilinear evolution equation
0 references
compact semigroup
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
The author proves the existence of mild solutions of a semilinear nonlocal Cauchy problem in a Banach space. The linear operator that governs the evolution equation is assumed to generate a compact semigroup. The paper generalizes an earlier work by the author and \textit{R. Yuan} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, A, 4177--4184 (2009; Zbl 1179.34063)].
0 references
