Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью
Matematičeskie trudy, Tome 23 (2020) no. 2, pp. 187-203.

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

@article{MT_2020_23_2_a7,
     author = {H. S. Petrosyan and Ts. \`E. Terdzhyan and Kh. A. Khachatryan},
     title = {{\CYRE}{\cyrd}{\cyri}{\cyrn}{\cyrs}{\cyrt}{\cyrv}{\cyre}{\cyrn}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyrsftsn} {\cyrr}{\cyre}{\cyrsh}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrishrt} {\cyrs}{\cyri}{\cyrs}{\cyrt}{\cyre}{\cyrm}{\cyrery} {\cyri}{\cyrn}{\cyrt}{\cyre}{\cyrg}{\cyrr}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyrery}{\cyrh} {\cyru}{\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyre}{\cyrn}{\cyri}{\cyrishrt} {\cyrn}{\cyra} {\cyrp}{\cyro}{\cyrl}{\cyru}{\cyro}{\cyrs}{\cyri} {\cyrs} {\cyrv}{\cyrery}{\cyrp}{\cyru}{\cyrk}{\cyrl}{\cyro}{\cyrishrt} {\cyrn}{\cyre}{\cyrl}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyrsftsn}{\cyryu}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {187--203},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2020_23_2_a7/}
}
TY  - JOUR
AU  - H. S. Petrosyan
AU  - Ts. È. Terdzhyan
AU  - Kh. A. Khachatryan
TI  - Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью
JO  - Matematičeskie trudy
PY  - 2020
SP  - 187
EP  - 203
VL  - 23
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2020_23_2_a7/
LA  - ru
ID  - MT_2020_23_2_a7
ER  - 
%0 Journal Article
%A H. S. Petrosyan
%A Ts. È. Terdzhyan
%A Kh. A. Khachatryan
%T Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью
%J Matematičeskie trudy
%D 2020
%P 187-203
%V 23
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2020_23_2_a7/
%G ru
%F MT_2020_23_2_a7
H. S. Petrosyan; Ts. È. Terdzhyan; Kh. A. Khachatryan. Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью. Matematičeskie trudy, Tome 23 (2020) no. 2, pp. 187-203. http://geodesic.mathdoc.fr/item/MT_2020_23_2_a7/

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

[2] I. Ya. Arefeva, “Skatyvayuschiesya resheniya polevykh uravnenii na neekstremalnykh branakh i v p-adicheskikh strunakh”, Tr. MIRAN, 245, 2004, 47–54 | Zbl

[3] I. Ya. Arefeva, I. V. Volovich, “Ob izotropnom energeticheskom uslovii i kosmologii”, TMF, 155:1 (2008), 3–12 | MR | Zbl

[4] V. S. Vladimirov, “Matematicheskie voprosy teorii nelineinykh psevdodifferentsialnykh uravnenii p-adicheskikh strun”, Vestn. Samar. gos. tekhn. un-ta. Ser. fiz-mat. nauki, 22:1 (2011), 34–41 | Zbl

[5] V. S. Vladimirov, Ya. I. Volovich, “O nelineinom uravnenii dinamiki v teorii p-adicheskoi struny”, TMF, 138:3 (2004), 355–368 | MR | Zbl

[6] I. V. Volovich, “Svoistva uravnenii dinamiki v p-adicheskoi i polevoi strunnykh modelyakh”, Tr. MIRAN, 245, 2004, 296–303 | Zbl

[7] F. G. Gantmakher, Teoriya matrits, Fizmatlit, M., 2010 | MR

[8] G. G. Gevorkyan, N. B. Engibaryan, “Novye teoremy dlya integralnogo uravneniya vosstanovleniya”, Izv. NAN Armenii. Matem., 32:1 (1997), 5–20 | MR | Zbl

[9] L. V. Zhukovskaya, “Iteratsionnyi metod resheniya nelineinykh integralnykh uravnenii, opisyvayuschikh rollingovye resheniya v teorii strun”, TMF, 146:3 (2006), 402–409 | MR

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

[11] Kh. A. Khachatryan, “Ob odnom klasse integralnykh uravnenii tipa Urysona s silnoi nelineinostyu”, Izv. RAN. Ser. matem., 76:1 (2012), 173–200 | MR | Zbl

[12] Kh. A. Khachatryan, “O polozhitelnoi razreshimosti nekotorykh klassov nelineinykh integralnykh uravnenii tipa Gammershteina na poluosi i na vsei pryamoi”, Izv. RAN. Ser. matem., 79:2 (2015), 205–224 | MR | Zbl

[13] Kh. A. Khachatryan, “O razreshimosti odnoi sistemy nelineinykh integralnykh uravnenii tipa Gammershteina na pryamoi”, Izv. Sarat. gos. un-ta (n.s.). Ser. Matem. Mekh. Informat., 19:2 (2019), 164–181 | MR | Zbl

[14] Kh. A. Khachatryan, Ts. E. Terdzhyan, “O razreshimosti odnogo klassa nelineinykh integralnykh uravnenii Gammershteina v prostranstve $L_1(0, +\infty)$”, Matem. tr., 18:1 (2015), 190–200 | Zbl

[15] I. Ya. Aref'eva, I. V. Volovich, “Cosmological daemon”, J. High Energy Phys., 102:8 (2011), 1–32

[16] N. Barnaby, “Caustic formation in tachyon effective field theories”, J. High Energy Phys., 2004:7 (2004), 1–24 | DOI | MR

[17] P. Gorka, E. G. Reyes, “Sobolev spaces on locally compact abelian groups and the bosonic string equation”, J. Aust. Math. Soc., 98:1 (2015), 39–53 | DOI | MR | Zbl

[18] A. Kh. Khachatryan, Kh. A. Khachatryan, “On an integral equation with monotonic nonlinearity”, Mem. Differ. Equ. Math. Phys., 51:3 (2010), 59–72 | MR | Zbl

[19] Li Kun, Li Xiong, “Asymptotic behavior and uniqueness of traveling wave solutions in Ricker competition system”, J. Math. Anal. Appl., 389:1 (2012), 486–497 | DOI | MR | Zbl