Geodesic
Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
Matematičeskie trudy, Tome 16 (2013) no. 2, pp. 111-141

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

We construct a family of exponential estimates for solutions to the Cauchy problem for systems of linear difference and ordinary differential equations and differential equations with aftereffect whose matrices are of a special form. We use the monotone method and properties of nondegenerate M-matrices. We also study some specific examples of systems of equations. 
@article{MT_2013_16_2_a7,
     author = {N. V. Pertsev},
     title = {Application of {M-matrices} in construction of exponential estimates for solutions to the {Cauchy} problem for systems of linear difference and differential equations},
     journal = {Matemati\v{c}eskie trudy},
     pages = {111--141},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2013_16_2_a7/}
}
TY  - JOUR
AU  - N. V. Pertsev
TI  - Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
JO  - Matematičeskie trudy
PY  - 2013
SP  - 111
EP  - 141
VL  - 16
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2013_16_2_a7/
LA  - ru
ID  - MT_2013_16_2_a7
ER  - 
%0 Journal Article
%A N. V. Pertsev
%T Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
%J Matematičeskie trudy
%D 2013
%P 111-141
%V 16
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2013_16_2_a7/
%G ru
%F MT_2013_16_2_a7
N. V. Pertsev. Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations. Matematičeskie trudy, Tome 16 (2013) no. 2, pp. 111-141. http://geodesic.mathdoc.fr/item/MT_2013_16_2_a7/