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Behavior of Stabilizing Solutions of the Riccati Equation

Authors :
V. V. Palin
E. V. Radkevich
Source :
Journal of Mathematical Sciences. 234:455-469
Publication Year :
2018
Publisher :
Springer Science and Business Media LLC, 2018.

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.

Details

ISSN :
15738795 and 10723374
Volume :
234
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi...........4a9cd16d90cf9b2930a029856a85b69d
Full Text :
https://doi.org/10.1007/s10958-018-4022-7