AIP conference proceedings · 2012 · 17 citations · 0 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
The system of nonlinear impulsive differential equations with two-point and integral boundary conditions are investigated. Theorems on 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.