Glasnik matematički, Vol. 51 No. 2, 2016.
Original scientific paper
https://doi.org/10.3336/gm.51.2.09
Existence results for some partial integrodifferential equations with nonlocal conditions
Khalil Ezzinbi
; Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, BP 2390 Marrakech, Morocco
Saifeddine Ghnimi
; Department of Mathematics, Faculty of Sciences, University of Gafsa, B.P. 2112 Gafsa, Tunisia
Mohamed-Aziz Taoudi
; Cadi Ayyad University, National School of Applied Sciences, Marrakech, Morocco
Abstract
In this work, we study the existence of mild solutions for a class of partial integrodifferential equations with nonlocal conditions. Our analysis uses the resolvent operator theory and relies on a new fixed point theorem of Sadovskii-Krasnosel'skii type. Our results improve and complement several earlier related works. Some examples are provided to illustrate the theoretical results.
Keywords
Partial integrodifferential equation; nonlocal conditions; mild solution; fixed point theorem; resolvent operator; semigroup operator
Hrčak ID:
170045
URI
Publication date:
3.12.2016.
Visits: 1.587 *