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An existence theorem for nonlinear Volterra integral equation with deviating argument

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Abstract

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.

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Authors and Affiliations

  1. Institute of Mathematics and Physics, Technical University, Rzeszów, Poland

    Józef Banaś

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  1. Józef Banaś
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Banaś, J. An existence theorem for nonlinear Volterra integral equation with deviating argument. Rend. Circ. Mat. Palermo 35, 82–89 (1986). https://doi.org/10.1007/BF02844043

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  • DOI: https://doi.org/10.1007/BF02844043

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