EXISTENCE AND UNIQUENESS OF THE SOLUTIONS OF THE NONLINEAR IMPULSE
DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
- Yusif Gasimov,
- Misir Mardanov,
- Yagub Sharifov,
- Rita Sardarova,
- H. Jafari
Yusif Gasimov
Azerbaijan University
Corresponding Author:gasimov.yusif@gmail.com
Author ProfileMisir Mardanov
Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics
Author ProfileYagub Sharifov
Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics
Author ProfileAbstract
In this paper the system of ordinary impulse differential equations with
nonlocal conditions is investigated. First, the boundary value problem
is reduced to the equivalent integral equation. Further, using the fixed
point theorem, conditions for the existence and uniqueness of the
solution of the boundary value problem are obtained. The continuous
dependence of the solutions on the right-hand side of the boundary
conditions is also established.
