On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line
Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 31-42 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper is devoted to the studying certain classes of nonlinear integral and integro-differential with non-compact Hammerstein type operators. These equations have important applications in the kinetic theory of gases and in the wealth distribution theory of a one product economics.
Keywords: integral equation, Hammerstein operator, Sobolev space, monotonicity.
Mots-clés : convergence
@article{UFA_2013_5_2_a3,
     author = {M. F. Broyan and Kh. A. Khachatryan},
     title = {On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line},
     journal = {Ufa mathematical journal},
     pages = {31--42},
     year = {2013},
     volume = {5},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a3/}
}
TY  - JOUR
AU  - M. F. Broyan
AU  - Kh. A. Khachatryan
TI  - On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line
JO  - Ufa mathematical journal
PY  - 2013
SP  - 31
EP  - 42
VL  - 5
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a3/
LA  - en
ID  - UFA_2013_5_2_a3
ER  - 
%0 Journal Article
%A M. F. Broyan
%A Kh. A. Khachatryan
%T On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line
%J Ufa mathematical journal
%D 2013
%P 31-42
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a3/
%G en
%F UFA_2013_5_2_a3
M. F. Broyan; Kh. A. Khachatryan. On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line. Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 31-42. http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a3/

[1] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1962, 440 pp.

[2] Engibaryan N. B., Khachatryan A. Kh., “O tochnoi linearizatsii zadach skolzheniya razrezhennogo gaza v BGK modeli”, TMF, 119:2 (2000), 339–342 | DOI | MR

[3] I. D. Sargan, “The distribution of wealt”, Econometrics, 25:4 (1957), 568–590 | DOI | MR | Zbl

[4] Khachatryan A. Kh., Khachatryan Kh. A., “Ob odnom integro-differentsialnom uravnenii v zadache raspredeleniya bogatstva Sany”, Ekonomika i matematicheskie metody, 45:4 (2009), 84–96

[5] Gakhov F. D., Cherskii Yu. I., Uravneniya tipa svertki, Nauka, M., 1978, 295 pp. | MR | Zbl

[6] Engibaryan B. N., “Primenenie mnogokratnoi faktorizatsii k odnorodnomu uravneniyu svertki”, Izvestiya NAN Armenii, Matematika, 32:1 (1997), 38–48 | MR | Zbl

[7] Engibaryan N. B., Khachatryan A. Kh., “O nekotorykh integralnykh uravneniyakh tipa svertki v kineticheskoi teorii”, ZhVM i MF, 38:3 (1998), 466–482 | MR | Zbl

[8] Engibaryan N. B., Arabadzhyan L. G., “O nekotorykh zadachakh faktorizatsii dlya integralnykh operatorov tipa svertki”, Diff. uravneniya, 26:1 (1990), 1442–1452 | MR

[9] Vladimirov V. S., “Ob uravnenii $p$-adicheskoi otkrytoi struny dlya skalyarnogo polya takhionov”, Izvestiya RAN, ser. matem., 69:3 (2005), 55–80 | DOI | MR | Zbl

[10] V. S. Vladimirov, Y. I. Volovich, “Nonlinear Dynamics equation in $p$-adic string theory”, Theoretical and Mathematical physics, 2004:138 (3), 355–368 | MR | Zbl

[11] P. H. Framton, Y. Okada, “Effective scalar field theory of $p$-adic string”, Phys. Rev. D, 2004:37 (10), 3077–3079 | MR

[12] V. S. Vladimirov, “The equation of $p$-adic closed string for the scalar tachyon field”, Science in China, ser. A, Mathematics, 2008:51 (4), 754–764 | MR | Zbl

[13] A. Kh. Khachatryan, Kh. A. Khachatryan, “On convolution type nonlinear integral equations, containing singular and discrete probability distributions”, Advances and Applications in Mathematical Sciences (India), 5:1 (2010), 1–16 | MR

[14] Arabadzhyan L. G., “Resheniya odnogo integralnogo uravneniya tipa Gammershteina”, Izvestiya NAN Armenii, Matematika, 32:1 (1997), 21–28 | MR | Zbl

[15] A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one class Hammerstein nonlinear integral equations”, Buletinul Academiei Stinte a Republici Moldova, Mathematica, 2010:63 (2), 67–83 | MR | Zbl

[16] Khachatryan Kh. A., “Suschestvovanie i asimptoticheskoe povedenie resheniya dlya odnogo klassa nelineinykh integralnykh uravnenii Urysona na poluosi”, Vestnik RAU, 3:2 (2009), 15–25

[17] Khachatryan Kh. A., “Ob odnom klasse nelineinykh integralnykh uravnenii s nekompaktnym operatorom”, Izvestiya NAN Armenii, Matematika, 46:2 (2011), 71–86 | MR

[18] Khachatryan Kh. A., “Ob odnom klasse integralnykh uravnenii tipa Urysona s silnoi nelineinostyu”, Izvestiya RAN, ser. Matematicheskaya, 76:1 (2012), 173–200 | DOI | MR | Zbl

[19] Khachatryan Kh. A., Khachatryan E. A., “O razreshimosti nekotorykh klassov nelineinykh integro-differentsialnykh uravnenii s nekompaktnym operatorom”, Izvestiya Vuzov, Matematika, 54:1 (2011), 91–100 | MR

[20] Arabadzhyan L. G., Engibaryan N. B., “Uravneniya v svertkakh i nelineinye funktsionalnye uravneniya”, Itogi nauki i tekhn. Ser. Mat. anal., 22, VINITI, M., 1984, 175–244 | MR

[21] A. Kh. Khachatryan, Kh. A. Khachatryan, “On Solvability of a nonlinear problem in theoty of income distribution”, Eurasian Math. J., 2011:2 (2), 75–88 | MR | Zbl

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