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Siberian Mathematical Journal

, Volume 58, Issue 3, pp 525–535 | Cite as

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

  • N. V. PertsevEmail author
Article

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.

Keywords

nonlinear integral equation differential equation with delay global solvability nonnegativity of a solution mathematical model well-posedness living system 

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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Omsk BranchSobolev Institute of MathematicsOmskRussia

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