FORMULATION OF THE CAUCHY PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS AND PROPERTIES OF THEIR SOLUTIONS

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Published: May 10, 2026

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Egamnazarova Jumagul Xudoyor qizi
Yangiyer Branch of Tashkent Institute of Chemical Technology Yangiyer City, Uzbekistan
Jumabaeva Dilnoza
First-year Student, Food Technology Yangiyer Branch of Tashkent Institute of Chemical Technology
Xamraqulova Rayxona
First-year Student, Food Technology Yangiyer Branch of Tashkent Institute of Chemical Technology

Abstract

This article studies the formulation of the Cauchy problem for ordinary differential equations, including the existence and uniqueness conditions of solutions and their main properties. The existence and uniqueness theorems based on the Lipschitz condition are analyzed. In addition, the practical applications of the Cauchy problem and its importance in mathematical modeling are discussed

Article Details

Issue
Vol. 5 No. 5 (2026): INTERNATIONAL JOURNAL OF ADVANCED RESEARCH IN EDUCATION, TECHNOLOGY AND MANAGEMENT
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Articles

References

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Vladimir Arnold. Ordinary Differential Equations.