On nonlinear problems for functional differential equation

A. S. Larionov^a, P. M. Simonov<sup>b

a</sup> Bratsk State University
^b Perm State National Research University

Abstract: Given the approval of the solvability of nonlinear problems for first order differential equation with retarded argument. The statements are derived from the monotone iterative technique.

Keywords: Isotonic and antitonic operators, upper and lower solutions, the operator of internal superposition, a problem of Cauchy – Nicoletti, a model of Mackey – Glass.

UDC: 517.929

Received: 17.07.2015

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