International Journal of Mathematical Research

2311-7427 2306-2223

10.18488/journal.24/2016.5.1/24.1.25.39

International Journal of Mathematical Research

Riccatis Equation. Asymptotics of Exact Solution

International Journal of Mathematical Research

01-2016 2016

01-2016 01-2016

5 1 25 39 30 Nov 30 Nov In this article based on a method of approximating equation an asymptotic solution of the general Riccati ‘s equation is obtained. The principal distinctive feature and advantage of the solution is its continuity at turning points. Estimates of accuracy of the approximate solution are derived. Limit values of the asymptotic solution in case of one-sided convergence of argument to turning point of the first order are calculated.<br>