Geodesic
Applications of covering mappings in the theory of implicit differential equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 21-33

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

This paper is a brief review of results in the theory of covering mappings of metric spaces and vector metric spaces and its applications to implicit differential equations. For the Cauchy problem and boundary-value problems, we obtain existence conditions, estimates of solutions, and conditions of the continuous dependence of solutions on the parameters of the equation and initial and boundary conditions.
Keywords: covering mapping, map coincidence point, metric space, partially ordered space, implicit differential equation, Cauchy problem, boundary-value problem. 
@article{INTO_2019_165_a2,
     author = {E. O. Burlakov and T. V. Zhukovskaya and E. S. Zhukovskiy and N. P. Puchkov},
     title = {Applications of covering mappings in the theory of implicit differential equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {21--33},
     publisher = {mathdoc},
     volume = {165},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_165_a2/}
}
TY  - JOUR
AU  - E. O. Burlakov
AU  - T. V. Zhukovskaya
AU  - E. S. Zhukovskiy
AU  - N. P. Puchkov
TI  - Applications of covering mappings in the theory of implicit differential equations
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2019
SP  - 21
EP  - 33
VL  - 165
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2019_165_a2/
LA  - ru
ID  - INTO_2019_165_a2
ER  - 
%0 Journal Article
%A E. O. Burlakov
%A T. V. Zhukovskaya
%A E. S. Zhukovskiy
%A N. P. Puchkov
%T Applications of covering mappings in the theory of implicit differential equations
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2019
%P 21-33
%V 165
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2019_165_a2/
%G ru
%F INTO_2019_165_a2
E. O. Burlakov; T. V. Zhukovskaya; E. S. Zhukovskiy; N. P. Puchkov. Applications of covering mappings in the theory of implicit differential equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part I, Tome 165 (2019), pp. 21-33. http://geodesic.mathdoc.fr/item/INTO_2019_165_a2/