Geodesic
On some classes of nonlinear integral equations with noncompact operators
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 181-188

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

The work is devoted to the investigation of some classes of nonlinear integral equations of Hammerstein–Nemitski type with noncompact operators. Above mentioned class of equations, beside the theoretical interest has immediately an application in kinetic theory of gases. The existence theorems for positive solutions in different functional spaces are proved.
Keywords: Hammerstein–Nemitski type integral equation, condition of conservativity, Caratheodory's condition, monotonicity, Wiener–Hopf equation. 
@article{VSGTU_2013_1_a16,
     author = {Kh. A. Khachatryan},
     title = {On some classes of nonlinear integral equations with noncompact operators},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {181--188},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a16/}
}
TY  - JOUR
AU  - Kh. A. Khachatryan
TI  - On some classes of nonlinear integral equations with noncompact operators
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2013
SP  - 181
EP  - 188
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a16/
LA  - ru
ID  - VSGTU_2013_1_a16
ER  - 
%0 Journal Article
%A Kh. A. Khachatryan
%T On some classes of nonlinear integral equations with noncompact operators
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2013
%P 181-188
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a16/
%G ru
%F VSGTU_2013_1_a16
Kh. A. Khachatryan. On some classes of nonlinear integral equations with noncompact operators. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 181-188. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a16/