About the correctness of impulsive functional differential equations

E.S. Zhukovskiy, T.V. Zhukovskaya


In this paper, problems which require to take into account the opportunity of the change of impulse time or errors of its measurement are considered. A special metric space of impulsive functional differential equations' solutions, which helps to consider this type of problems, is introduced. A nonlinear analog of N.V. Azbelev's W-substitution is proposed. Some results on the continuous dependence of the impulsive equations solutions' on the time of'' impact11 are obtained. The research is based on general statements obtained earlier by one of the authors concerning the solvability and correctness of equations with Volterra operators.

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