Geodesic
Specific group properties of differential equations with deviating argument. Introduction to the linear theory
Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 483-493

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

We describe an approach to differential equations with deviating argument which takes account of the structure of the homeomorphism group generated by the functions specifying the deviated arguments. The formalism presented here is particularly simple and instructive for the case in which the group is cyclic. In the class of linear differential equations with integer deviations, this formalism permits us to describe regular extensions of the class of ordinary differential equations. 
@article{MZM_1998_63_4_a0,
     author = {L. A. Beklaryan},
     title = {Specific group properties of differential equations with deviating argument. {Introduction} to the linear theory},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--493},
     publisher = {mathdoc},
     volume = {63},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a0/}
}
TY  - JOUR
AU  - L. A. Beklaryan
TI  - Specific group properties of differential equations with deviating argument. Introduction to the linear theory
JO  - Matematičeskie zametki
PY  - 1998
SP  - 483
EP  - 493
VL  - 63
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a0/
LA  - ru
ID  - MZM_1998_63_4_a0
ER  - 
%0 Journal Article
%A L. A. Beklaryan
%T Specific group properties of differential equations with deviating argument. Introduction to the linear theory
%J Matematičeskie zametki
%D 1998
%P 483-493
%V 63
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a0/
%G ru
%F MZM_1998_63_4_a0
L. A. Beklaryan. Specific group properties of differential equations with deviating argument. Introduction to the linear theory. Matematičeskie zametki, Tome 63 (1998) no. 4, pp. 483-493. http://geodesic.mathdoc.fr/item/MZM_1998_63_4_a0/