The~$\ell$ stability of some difference schemes for one system of nonlinear parabolic equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 4, pp. 273-280.

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In the present paper, the stability in the space $\ell_p$ for certain difference schemes for one system of nonlinear parabolic equations is proved. This paper is a sequel to the author's previous works.
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A. Sh. Akysh. The~$\ell$ stability of some difference schemes for one system of nonlinear parabolic equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 4, pp. 273-280. http://geodesic.mathdoc.fr/item/SJVM_2005_8_4_a0/

[1] Godunov S. K., Ryabenkii V. S., Raznostnye skhemy, Nauka, M., 1973 | Zbl

[2] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967

[3] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989 | MR

[4] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989 | MR

[5] Konovaltsev I. V., “Ustoichivost v $S$ i $L_p$ dvukhsloinykh raznostnykh skhem dlya parabolicheskikh uravnenii”, Zhurn. vychisl. matem. i mat. fiziki, 8:4 (1968), 465–469

[6] Akishev A. Sh., “Ob ustoichivosti nekotorykh raznostnykh skhem dlya uravneniya perenosa v prostranstve $l_p(G_h)$, $1

\infty$”, DAN RK, 3 (1994), 3–16

[7] Akysh (Akishev) A. Sh., “Ob ustoichivosti v $l_p$ nekotorykh raznostnykh skhem dlya uravneniya perenosa”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 5:3 (2002), 199–214 | Zbl

[8] Akysh (Akishev) A. Sh., “Ob ustoichivosti v $l_p$ raznostnoi skhemy dlya modeli Karlemana”, Trudy mezhdunarodnoi konferentsii “Differentsialnye uravneniya i ikh prilozheniya”, Almaty, 2002., 96–99

[9] Akysh (Akishev) A. Sh., “Ustoichivost v $l_p$ nekotorykh raznostnykh skhem dlya uravneniya teploprovodnosti”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 6:1 (2003), 1–16 | Zbl