Behavior of Stabilizing Solutions of the Riccati Equation


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Abstract

Sufficient conditions are found for the existence of stabilizing solutions of the Riccati differential equation y′ = (yy1(x)) (yy2(x)) with given y1(x) and y2(x). For various types of stabilizing solutions, the number of points of extremum is examined.

About the authors

V. V. Palin

Moscow State University

Author for correspondence.
Email: grey_stranger84@mail.ru
Russian Federation, Moscow

E. V. Radkevich

Moscow State University

Email: grey_stranger84@mail.ru
Russian Federation, Moscow

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