Existence and uniqueness theorems for the Pfaff equation with continuous coefficients
Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 609-619
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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.
@article{CMFD_2021_67_4_a0,
author = {A. A. Abduganiev and A. A. Azamov and A. Begaliev},
title = {Existence and uniqueness theorems for the {Pfaff} equation with continuous coefficients},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {609--619},
publisher = {mathdoc},
volume = {67},
number = {4},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a0/}
}
TY - JOUR AU - A. A. Abduganiev AU - A. A. Azamov AU - A. Begaliev TI - Existence and uniqueness theorems for the Pfaff equation with continuous coefficients JO - Contemporary Mathematics. Fundamental Directions PY - 2021 SP - 609 EP - 619 VL - 67 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a0/ LA - ru ID - CMFD_2021_67_4_a0 ER -
%0 Journal Article %A A. A. Abduganiev %A A. A. Azamov %A A. Begaliev %T Existence and uniqueness theorems for the Pfaff equation with continuous coefficients %J Contemporary Mathematics. Fundamental Directions %D 2021 %P 609-619 %V 67 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a0/ %G ru %F CMFD_2021_67_4_a0
A. A. Abduganiev; A. A. Azamov; A. Begaliev. Existence and uniqueness theorems for the Pfaff equation with continuous coefficients. Contemporary Mathematics. Fundamental Directions, Science — Technology — Education — Mathematics — Medicine, Tome 67 (2021) no. 4, pp. 609-619. http://geodesic.mathdoc.fr/item/CMFD_2021_67_4_a0/