V. P. Plaksina, I. M. Plaksina, E. V. Plekhova, “On solvability of the Cauchy problem for one quasilinear singular functional-differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 2,Pages <nobr>54

This article is cited in 4 papers

On solvability of the Cauchy problem for one quasilinear singular functional-differential equation

V. P. Plaksina^a, I. M. Plaksina^b, E. V. Plekhova^a

^a Chair of Higher Mathematics, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia
^b Chair of Workflow Automation, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia

Abstract: We consider the Cauchy problem with zero initial conditions for quasilinear singular functional-differential equation of the second order with a delay at singular summand. We obtain sufficient conditions of solvability of the problem.

Keywords: singular differential equation, Cauchy problem, functional-differential equation.

UDC: 517.929

Received: 05.07.2014