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EXISTENCE AND UNIQUENESS OF THE SOLUTIONS OF THE NONLINEAR IMPULSE DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
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  • Yusif Gasimov,
  • Misir Mardanov,
  • Yagub Sharifov,
  • Rita Sardarova,
  • H. Jafari
Yusif Gasimov
Azerbaijan University
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Misir Mardanov
Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics
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Yagub Sharifov
Azerbaijan National Academy of Sciences Institute of Mathematics and Mechanics
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Rita Sardarova
Azerbaijan State University of Economics
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H. Jafari
University of South Africa - Florida Campus
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Abstract

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.