Geodesic
Application of perturbation theory to the solvability analysis of differential algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 958-969

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

Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the desired vector function are considered. The structure of general solutions is discussed. A special case of perturbed systems is studied by applying the Vishik–Lyusternik method. 
@article{ZVMMF_2013_53_6_a9,
     author = {A. A. Boichuk and A. A. Pokutnyi and V. F. Chistyakov},
     title = {Application of perturbation theory to the solvability analysis of differential algebraic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {958--969},
     publisher = {mathdoc},
     volume = {53},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a9/}
}
TY  - JOUR
AU  - A. A. Boichuk
AU  - A. A. Pokutnyi
AU  - V. F. Chistyakov
TI  - Application of perturbation theory to the solvability analysis of differential algebraic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 958
EP  - 969
VL  - 53
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a9/
LA  - ru
ID  - ZVMMF_2013_53_6_a9
ER  - 
%0 Journal Article
%A A. A. Boichuk
%A A. A. Pokutnyi
%A V. F. Chistyakov
%T Application of perturbation theory to the solvability analysis of differential algebraic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 958-969
%V 53
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a9/
%G ru
%F ZVMMF_2013_53_6_a9
A. A. Boichuk; A. A. Pokutnyi; V. F. Chistyakov. Application of perturbation theory to the solvability analysis of differential algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 958-969. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a9/