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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 4, Pages 609–619
DOI: https://doi.org/10.22363/2413-3639-2021-67-4-609-619 (Mi cmfd438) 		 
Existence and uniqueness theorems for the Pfaff equation with continuous coefficients

A. A. Abduganiev, A. A. Azamov, A. Begaliev

Institute of Mathematics named after V. I. Romanovsky, Tashkent, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2021-67-4-609-619
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.
Document Type: Article
UDC: 517.911.5
Language: Russian
Citation: A. A. Abduganiev, A. A. Azamov, A. Begaliev, “Existence and uniqueness theorems for the Pfaff equation with continuous coefficients”, Science — Technology — Education — Mathematics — Medicine, CMFD, 67, no. 4, PFUR, M., 2021, 609–619
Citation in format AMSBIB
\Bibitem{AbdAzaBeg21}
\by A.~A.~Abduganiev, A.~A.~Azamov, A.~Begaliev
\paper Existence and uniqueness theorems for the Pfaff equation with continuous coefficients
\inbook Science — Technology — Education — Mathematics — Medicine
\serial CMFD
\yr 2021
\vol 67
\issue 4
\pages 609--619
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd438}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-4-609-619}
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