MATHEMATICS

The existence and estimates of solutions of the Cauchy problem for a nonlinear functional-differential equation

Kh. M. Takhir

Tambov State University named after G.R. Derzhavin

Abstract: We obtain an assertion about functional-differential inequality analogous to the well-known theorem of Chaplygin. The result can be used to find estimates of solutions of specific functional-differential equations.

Keywords: Cauchy problem, functional-differential equation, the Chaplygin theorem on differential inequality.

UDC: 517

Received: 03.08.2017

DOI: 10.20310/1810-0198-2017-22-6-1329-1334