On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 57-66 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The existence is studied of one parametric family of positive bounded solutions for a class of Hammerstein–Volterra type nonlinear homogeneous integral equations. This class of equations has important applications in the kinetic theory of gases.
@article{VMJ_2012_14_2_a6,
     author = {Kh. A. Khachatryan and S. A. Grigoryan},
     title = {On nontrivial solvability of a~nonlinear {Hammerstein{\textendash}Volterra} type integral equation},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {57--66},
     year = {2012},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a6/}
}
TY  - JOUR
AU  - Kh. A. Khachatryan
AU  - S. A. Grigoryan
TI  - On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2012
SP  - 57
EP  - 66
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a6/
LA  - ru
ID  - VMJ_2012_14_2_a6
ER  - 
%0 Journal Article
%A Kh. A. Khachatryan
%A S. A. Grigoryan
%T On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation
%J Vladikavkazskij matematičeskij žurnal
%D 2012
%P 57-66
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a6/
%G ru
%F VMJ_2012_14_2_a6
Kh. A. Khachatryan; S. A. Grigoryan. On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 2, pp. 57-66. http://geodesic.mathdoc.fr/item/VMJ_2012_14_2_a6/

[1] Cherchinyani K., Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978, 495 pp. | MR

[2] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967, 440 pp. | Zbl

[3] Engibaryan N. B., Khachatryan A. Kh., “Voprosy nelineinoi teorii dinamiki razrezhennogo gaza”, Mat. modelirovanie, 16:1 (2004), 67–74 | MR | Zbl

[4] Khachatryan Kh. A., “Otsenki resheniya odnogo integralnogo uravneniya tipa Volterra”, Uchenye Zapiski ErGu. Matematika, 2003, no. 1, 21–26

[5] Kolmogorov A. N., Fomin V. S., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1981, 544 pp. | MR