Conditions for well-posedness of integral models of some living systems

详细

We study the existence, uniqueness, and nonnegativity of solutions of a family of delay integral equations used in mathematical models of living systems. Conditions ensuring these properties of solutions on an infinite time interval are obtained. The continuous dependence of solutions on the initial data on finite time intervals is analyzed. Special cases in the form of delay differential and integro-differential equations arising in population dynamics models are presented.