Geodesic
On asymptotic properties of solutions of functional differential equations of neutral type
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, Tome 15 (2006), pp. 112-125

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

In this paper, we obtain sharp estimates for strong solutions of functional differential equations of neutral type. Our result is closely connected with our previous results devoted to the initial-value problem for above-mentioned equations in the scale of Sobolev spaces. To obtain our estimates of the solutions, we essentially use Riesz basis properties of the system of exponential solutions. The fact that they form a Riesz basis is one of the main results of this article. 
@article{CMFD_2006_15_a7,
     author = {V. V. Vlasov and D. A. Medvedev},
     title = {On asymptotic properties of solutions of functional differential equations of neutral type},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {112--125},
     publisher = {mathdoc},
     volume = {15},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/}
}
TY  - JOUR
AU  - V. V. Vlasov
AU  - D. A. Medvedev
TI  - On asymptotic properties of solutions of functional differential equations of neutral type
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2006
SP  - 112
EP  - 125
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/
LA  - ru
ID  - CMFD_2006_15_a7
ER  - 
%0 Journal Article
%A V. V. Vlasov
%A D. A. Medvedev
%T On asymptotic properties of solutions of functional differential equations of neutral type
%J Contemporary Mathematics. Fundamental Directions
%D 2006
%P 112-125
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/
%G ru
%F CMFD_2006_15_a7
V. V. Vlasov; D. A. Medvedev. On asymptotic properties of solutions of functional differential equations of neutral type. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, Tome 15 (2006), pp. 112-125. http://geodesic.mathdoc.fr/item/CMFD_2006_15_a7/