Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan · 2019 · 20 citations · 8 references
Natural SciencesMathematicsCreative Problem SolvingDifferential EquationsDynamical SystemsBoundary ConditionsBoundary-value ProblemsExistence TheoremsExistence TheoryIntegral EquationsSystems Of Differential EquationsBoundary ProblemContinuous Dependence On Initial ConditionsImpulsive SystemsNonlinear Boundary-value ProblemsUniqueness In Nonlinear Differential EquationsUniqueness In Systems Of Differential EquationsUniqueness Of SolutionsUniqueness Theorems For Ordinary Differential Equations
In the paper a system of ordinary impulsive integro-differential equations with nonlocal conditions is studied. At first the boundary value problem is reduced to the equivalent integral equation. Then, using the theorem on fixed points, the condition on the existence and uniqueness of the solution of the boundary value problem is obtained. Continuous dependence of the solutions on the right hand side of boundary conditions is also set up.
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