Geodesic
On a estimate of solutions of difference equations with stationary linear part and with scalar nonlinearity
Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 8-15 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper is considered nonlinear difference equation with initial condition. There is studied behavior of some characteristic of the problem by parameter tending to infinity. 
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V. I. Biderman. On a estimate of solutions of difference equations with stationary linear part and with scalar nonlinearity. Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 8-15. http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a1/

[1] A. D. Gorbunov, Raznostnye uravneniya i raznostnye metody resheniya zadachi Koshi dlya sistemy obyknovennykh differentsialnykh uravnenii, Izd-vo MGU, M., 1967, 113 pp.

[2] V. A. Ivanov i dr., Matematicheskie osnovy teorii matematicheskogo regulirovaniya, Vyssh. shk., M., 1971, 807 pp. | Zbl

[3] V. A. Yakubovich, “Absolyutnaya ustoichivost impulsnykh sistem s neskolkimi nelineinymi i lineinymi statsionarnymi blokami. II”, AiT, 1968, no. 2, 81–101 | MR | Zbl

[4] A. Khalanai, D. Veksler, Kachestvennaya teoriya impulsnykh sistem, Mir, M., 1971, 309 pp. | MR

[5] M. I. Gil, Metod operatornykh funktsii v teorii differentsialnykh uravnenii, Nauka, M., 1990, 160 pp. | MR | Zbl

[6] I. D. Martynyuk, Lektsii po kachestvennoi teorii differentsialnykh uravnenii, Naukova dumka, Kiev, 1972, 248 pp.

[7] F. Riss, B. Sekefalvi-Nad, Lektsii po funktsionalnomu analizu, Mir, M., 1979, 587 pp. | MR

[8] Yu. L. Daletskii, M. G. Krein, Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970, 536 pp. | MR

[9] A. O. Gelfond, Ischislenie konechnykh raznostei, Nauka, M., 1967, 375 pp. | MR

[10] A. M. Rodionov, “Nekotorye modifikatsii teorem vtorogo metoda Lyapunova dlya diskretnykh uravnenii”, AiT, 1992, no. 9, 86–93 | MR | Zbl

[11] V. M. Kuntsevich, V. G. Pokotilo, “Ustoichivost invariantnykh mnozhestv nelineinykh diskretnykh sistem”, PMM, 58:5 (1994), 59–67 | MR | Zbl

[12] A. V. Lasunskii, “K teorii ustoichivosti lineinykh sistem raznostnykh uravnenii”, Differents. uravneniya, 34:4 (1998), 567–569 | MR

[13] N. A. Bobylev, A. V. Butalov, “O robastnoi ustoichivosti lineinykh diskretnykh sistem”, AiT, 1998, no. 8, 138–145 | MR | Zbl