ON SOME PROPERTIES OF THE RICCATI EQUATION

Authors

Kerimbekov A.K. Boris Yeltsin Kyrgyz-Russian Slavic University

Keywords:

Riccati equation, integral identity, coefficient-conjugate equations, fractional-linear transformation, Jacobian determinant, algorithm for constructing a particular solution.

Abstract

The article explores the issues of constructing particular solutions of the Riccati equation. Previously unknown properties of the Riccati equation are presented, and an algorithm for constructing a particular solution has been developed.

References

1. Егоров А.И. Уравнения Риккати -М.: изд-во: Солон-пресс 2017 .- 448 с.

2. Kerimbekov A. On a Class of Solutions of the Nonlinear Integral Fredholm Equation //Trends in Mathematics Research Perspectives (Analysis, Probability, Applications, and Computation. Proceedings of the 11th ISAAC Congress, Vaxjo (Sweden) 2017). Switzerland, Birkhauser. - 2019, P. 191-197