Advances in Difference Equations · 2013 · 37 citations · 13 references
Natural SciencesMathematicsCreative Problem SolvingDifferential EquationsDynamical SystemsBoundary ConditionsBoundary-value ProblemsExistence TheoremsExistence TheoryInitial Value ProblemsSystems Of Differential EquationsBoundary Integral ConditionsImpulsive SystemsNonlinear Boundary-value ProblemsUniqueness In Nonlinear Differential EquationsUniqueness In Systems Of Differential EquationsUniqueness Of SolutionsUniqueness Theorems
In the present paper, a system of nonlinear impulsive differential equations with two-point and integral boundary conditions is investigated. Theorems on the existence and uniqueness of a solution are established under some sufficient conditions on nonlinear terms. A simple example of application of the main result of this paper is presented.
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