This paper is concerned with the existence of mild and classical solutions of nonlocal Cauchy problems. We assume that the linear part generates an analytic compact bounded semigroup, and that the nonlinear part is a Hölder continuous function with respect to the fractional power norm of the linear
Existence of solutions for a class of abstract differential equations with nonlocal conditions
✍ Scribed by Eduardo Hernández; Jair Silvério dos Santos; Katia A.G. Azevedo
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 275 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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