Geodesic
Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 52 (2014), pp. 3-141

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

In this monograph, we examine the Cauchy problem for second-order parabolic functional differential equations containing, in addition to differential operators, translation (generalized translation) operators acting with respect to spatial variables. The specified problems have important applications, such as the multilayer plates and envelopes theory, the diffusion processes theory, including biomathematical applications, models of nonlinear optics, etc. The main concern of the present work is the long-time behavior of solutions of studied problems. 
@article{CMFD_2014_52_a0,
     author = {A. B. Muravnik},
     title = {Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the {Cauchy} problem},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {3--141},
     publisher = {mathdoc},
     volume = {52},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2014_52_a0/}
}
TY  - JOUR
AU  - A. B. Muravnik
TI  - Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
JO  - Contemporary Mathematics. Fundamental Directions
PY  - 2014
SP  - 3
EP  - 141
VL  - 52
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMFD_2014_52_a0/
LA  - ru
ID  - CMFD_2014_52_a0
ER  - 
%0 Journal Article
%A A. B. Muravnik
%T Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
%J Contemporary Mathematics. Fundamental Directions
%D 2014
%P 3-141
%V 52
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMFD_2014_52_a0/
%G ru
%F CMFD_2014_52_a0
A. B. Muravnik. Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem. Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 52 (2014), pp. 3-141. http://geodesic.mathdoc.fr/item/CMFD_2014_52_a0/