Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients

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Abstract

In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for the approximate solution of the Cauchy problem for the Pfaff equation is proposed.

About the authors

A. A. Abduganiev

Institute of Mathematics named after V.I. Romanovsky

Author for correspondence.
Email: aaa_uz@mail.ru
Tashkent, Uzbekistan

A. A. Azamov

Institute of Mathematics named after V.I. Romanovsky

Email: abdulla.azamov@gmail.com
Tashkent, Uzbekistan

A. O. Begaliev

Institute of Mathematics named after V.I. Romanovsky

Email: azizuzmu@mail.ru
Tashkent, Uzbekistan

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