Existence and regularity of solutions for neutral partial functional integrodifferential equations
โ Scribed by Khalil Ezzinbi; Saifeddine Ghnimi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 322 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. As an application, we also consider a diffusive neutral partial functional integrodifferential equation.
๐ SIMILAR VOLUMES
In this paper, by using the Leray-Schauder alternative, we have investigated the existence of mild solutions to first-order impulsive partial functional integrodifferential equations with nonlocal conditions in an ฮฑ-norm. We assume that the linear part generates an analytic compact bounded semigroup
In this paper, we establish a set of sufficient conditions for the existence of mild solutions of nonlinear neutral integrodifferential equations in Banach spaces by using the Schaefer fixed-point theorem. An application is provided to illustrate the theory.