T. Sh. Kal'menov, A. Sh. Shaldanbaev, “On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation”, Mat. Tr., 2010, Volume 13, Number 2,Pages <nobr>128

This article is cited in 5 papers

On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation

T. Sh. Kal'menov^a, A. Sh. Shaldanbaev^b

^a Institute for Problems of Informatics and Control Sciences, Almaty, Kazakhstan
^b M. Auezov South Kazakhstan State University, Shymkent, Kazakhstan

Abstract: In the present article, the method of deviating argument is applied to solving a singularly perturbed Cauchy problem for an ordinary differential equation of the second order with variable coefficients.

Key words: singular Cauchy problem, differential equation with deviating argument, spectral resolutions of selfadjoint operators.

UDC: 517.9

Received: 19.03.2010