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Some properties of solutions to a family of integral equations arising in the models of living systems

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Abstract

We consider the well-posedness problem of nonlinear integral and differential equations with delay which arises in the elaboration of mathematical models of living systems. The questions of existence, uniqueness, and nonnegativity of solutions to these systems on an infinite semiaxis are studied as well as continuous dependence of solutions on the initial data on finite time segments.

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  1. Omsk Branch, Sobolev Institute of Mathematics, Omsk, Russia

    N. V. Pertsev

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Correspondence to N. V. Pertsev.

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Original Russian Text Copyright © 2017 Pertsev N.V.

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Pertsev, N.V. Some properties of solutions to a family of integral equations arising in the models of living systems. Sib Math J 58, 525–535 (2017). https://doi.org/10.1134/S0037446617030156

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  • DOI: https://doi.org/10.1134/S0037446617030156

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