Geodesic
Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 14-26

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

The large-time asymptotic behavior of solutions to the periodic boundary value problem for a nonlinear Sobolev-type equation is studied. In particular, the case where the initial perturbations are not small is considered. In this case, the large-time behavior of solutions is dichotomous.
Keywords: periodic boundary value problem, asymptotic behavior.
Mots-clés : Sobolev-type equation 
@article{FAA_2010_44_3_a1,
     author = {E. I. Kaikina and P. I. Naumkin and I. A. Shishmarev},
     title = {Periodic {Boundary} {Value} {Problem} for {Nonlinear} {Sobolev-Type} {Equations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {14--26},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a1/}
}
TY  - JOUR
AU  - E. I. Kaikina
AU  - P. I. Naumkin
AU  - I. A. Shishmarev
TI  - Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2010
SP  - 14
EP  - 26
VL  - 44
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a1/
LA  - ru
ID  - FAA_2010_44_3_a1
ER  - 
%0 Journal Article
%A E. I. Kaikina
%A P. I. Naumkin
%A I. A. Shishmarev
%T Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2010
%P 14-26
%V 44
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a1/
%G ru
%F FAA_2010_44_3_a1
E. I. Kaikina; P. I. Naumkin; I. A. Shishmarev. Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 3, pp. 14-26. http://geodesic.mathdoc.fr/item/FAA_2010_44_3_a1/