Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/