Behavior of Stabilizing Solutions of the Riccati Equation
- Authors: Palin V.V.1, Radkevich E.V.1
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Affiliations:
- Moscow State University
- Issue: Vol 234, No 4 (2018)
- Pages: 455-469
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241923
- DOI: https://doi.org/10.1007/s10958-018-4022-7
- ID: 241923
Cite item
Abstract
Sufficient conditions are found for the existence of stabilizing solutions of the Riccati differential equation y′ = (y − y1(x)) (y − y2(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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