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.
This study contributes in the existing literature. Thus, the results of that study may be applied for solving problems were set up in works , , . This study is one of very few studies, which have investigated the asymptotic behavior of solutions of Riccati’s equation in the neighborhood of turning points.
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