Geodesic
Properties of solutions of integro-differential equations arising in heat and~mass transfer theory
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 75 (2014) no. 2, pp. 219-243

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

The aim of the present paper is to study the asymptotic behavior of solutions of integro-differential equations on the basis of spectral analysis of their symbols. To this end, we obtain representations of strong solutions of these equations in the form of a sum of terms corresponding to the real and nonreal parts of the spectrum of the operator functions that are the symbols of these equations. These representations are new for the class of integro-differential equations considered in the paper. 
@article{MMO_2014_75_2_a7,
     author = {V. V. Vlasov and N. A. Rautian},
     title = {Properties of solutions of integro-differential equations arising in heat and~mass transfer theory},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {219--243},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a7/}
}
TY  - JOUR
AU  - V. V. Vlasov
AU  - N. A. Rautian
TI  - Properties of solutions of integro-differential equations arising in heat and~mass transfer theory
JO  - Trudy Moskovskogo matematičeskogo obŝestva
PY  - 2014
SP  - 219
EP  - 243
VL  - 75
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a7/
LA  - ru
ID  - MMO_2014_75_2_a7
ER  - 
%0 Journal Article
%A V. V. Vlasov
%A N. A. Rautian
%T Properties of solutions of integro-differential equations arising in heat and~mass transfer theory
%J Trudy Moskovskogo matematičeskogo obŝestva
%D 2014
%P 219-243
%V 75
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a7/
%G ru
%F MMO_2014_75_2_a7
V. V. Vlasov; N. A. Rautian. Properties of solutions of integro-differential equations arising in heat and~mass transfer theory. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 75 (2014) no. 2, pp. 219-243. http://geodesic.mathdoc.fr/item/MMO_2014_75_2_a7/