Iterative methods for solutions of impulsive functional differential systems
- 1 April 1992
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 44 (3-4) , 171-182
- https://doi.org/10.1080/00036819208840076
Abstract
This paper presents iterative methods for impulsive functional differential systems. The basic idea of the iterative method is the monotone approach which involves the notions of upper and lower solutions and the construction of monotone sequences. By developing some comparison results for impulsive differential inequalities, we prove the existence of extremal solutions of the impulsive functional system in a sector, which can be obtained by iteration. When the solution of the system is unique, this approach provides numerical procedures for computation of solutions.Keywords
This publication has 1 reference indexed in Scilit:
- Monotone iterative technique for delay differential equationsApplicable Analysis, 1986