Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 4, pp. 546-556 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2000_40_4_a5,
     author = {A. I. Zadorin},
     title = {Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {546--556},
     year = {2000},
     volume = {40},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a5/}
}
TY  - JOUR
AU  - A. I. Zadorin
TI  - Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2000
SP  - 546
EP  - 556
VL  - 40
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a5/
LA  - ru
ID  - ZVMMF_2000_40_4_a5
ER  - 
%0 Journal Article
%A A. I. Zadorin
%T Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2000
%P 546-556
%V 40
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a5/
%G ru
%F ZVMMF_2000_40_4_a5
A. I. Zadorin. Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 4, pp. 546-556. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_4_a5/

[1] Berlyand M. E., Sovremennye problemy atmosfernoi diffuzii i zagryazneniya atmosfery, Gidrometeoizdat, L., 1975

[2] Vladimirov B. C., “Priblizhennoe reshenie odnoi kraevoi zadachi dlya differentsialnogo uravneniya vtorogo poryadka”, Prikl. matem. i mekhan., 19:3 (1955), 315–324 | Zbl

[3] Fedoryuk M. V., “Uravnenie Gelmgoltsa v volnovode (otgonka kraevogo usloviya ot beskonechnosti)”, Zh. vychisl. matem. i matem. fiz., 12:2 (1972), 374–387

[4] Konstantinov A. A., Maslov V. P., Chebotarev A. M., “Snos kraevykh uslovii dlya uravnenii s chastnymi proizvodnymi”, Zh. vychisl. matem. i matem. fiz., 28:12 (1988), 1763–1778 | MR | Zbl

[5] Zadorin A. I., “Chislennoe reshenie ellipticheskogo uravneniya s pogranichnymi sloyami v polu beskonechnoi polose”, Vychisl. tekhnologii, 4:1 (1999), 33–47 | MR | Zbl

[6] Abramov A. A., Balla K., Konyukhova N. B., “Perenos granichnykh uslovii iz osobykh tochek dlya sistem obyknovennykh differentsialnykh uravnenii”, Soobsch. po vychisl. matem., VTs AN SSSR, M., 1981 | MR

[7] Abramov A. A., Konyukhova N. B., “Perenos dopustimykh granichnykh uslovii iz osoboi tochki dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii”, Soobsch. po prikl. matem., VTs AN SSSR, M., 1985 | MR

[8] Konyukhova N. B., Pak T. V., “Singulyarnye zadachi Koshi s bolshim parametrom dlya sistem nelineinykh obyknovennykh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 27:4 (1987), 501–519 | MR

[9] Konyukhova N. B., “Singulyarnye zadachi Koshi dlya singulyarno vozmuschennykh sistem nelineinykh obyknovennykh differentsialnykh uravnenii. I”, Differents. ur-niya, 32:1 (1996), 52–61 ; II:4, 491–500 | MR | Zbl | MR | Zbl

[10] Kurochkin S. V., “Chislennoe nakhozhdenie kraevogo usloviya vblizi osobennosti”, Zh. vychisl. matem. i matem. fiz., 37:5 (1997), 543–552 | MR | Zbl

[11] Balla K., “On asymptotic behavior of solutions to some difference equations”, Advances in Difference Equations, Proc. Sec. Internat. Conf. Difference Equations (Veszprem, Hungary, 1995), Gordon and Breach Sci. Publs., 1997, 67–80 | MR

[12] Balla K., Characterization of solutions in the discretization of a parabolic equation on the infinite strip, MTA SZTAKI. LORDS. WP 96-7, Badapest, 1996

[13] Balla K., “Asymptotic behavior of certain Riccati difference equations”, Comput. Math. Applic., 36:10–12 (1998), 243–250 | DOI | MR | Zbl

[14] Zadorin A. I., “Perenos kraevogo usloviya iz beskonechnosti pri chislennom reshenii uravnenii vtorogo poryadka s malym parametrom”, Sibirskii zh. vychisl. matem., 2:1 (1999), 21–36 | MR | Zbl

[15] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[16] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR