Abstract
This paper is concerned with the existence of mild solutions, strong solutions and strict solutions for a class of neutral integrodifferential equations with nonlocal conditions in Banach space. Since the nonlinear terms of the systems involve spacial derivatives, the theory of fractional power and α-norm is used to discuss the problem. In the end an example is provided to illustrate the applications of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 1879-1909 |
| Number of pages | 31 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 16 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Analytic semigroup
- Fractional power operator
- Neutral integrodifferential equation
- Nonlocal condition
- Resolvent operator