CAUCHY PROBLEM FOR THE RICCATI EQUATION WITH PIECEWISE CONTINUOUS ARGUMENT
DOI:
https://doi.org/10.55640/Keywords:
Riccati equation, Cauchy problem, first-order nonlinear ordinary differential equations, piecewise continuous argumentAbstract
This article addresses the Cauchy problem for the Riccati equation, one of the important classes of first-order nonlinear ordinary differential equations. The Cauchy problem is formulated for a Riccati differential equation with a piecewise continuous argument, and the existence of its solution is analyzed. The obtained results contribute to the development of the theory of differential equations with piecewise continuous arguments.
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