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Random semilinear system of differential equations with impulses.
- Source :
- Fixed Point Theory & Applications; 12/10/2017, Vol. 2017 Issue 1, p1-29, 29p
- Publication Year :
- 2017
-
Abstract
- In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov's, a nonlinear alternative of Leray-Schauder's fixed point principles combined with a technique based on vector-valued metrics and convergent to zero matrices. Also, we give a random abstract formulation to Sadovskii's fixed point theorem in a vector-valued Banach space. Examples illustrating the results are included. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871820
- Volume :
- 2017
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126654947
- Full Text :
- https://doi.org/10.1186/s13663-017-0622-z