An existence theorem for nonlinear Volterra integral equation with deviating argument
In this paper we prove the theorem about existence of solutions of some non-linear Volterra integral equation with deviating argument. Our theorem generalizes several results concerning functional-integral equations because we do not assume that involved functions satisfy the Lipschitz condition. On the other hand the argument deviations considered here admit both delay and advance.
KeywordsErential Equation Existence Theorem Lipschitz Condition Volterra Integral Equation Retarded Argument
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