Parametrization of simple branching solutions of full rank and iterations in nonlinear analysis

N. A. Sidorov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2001), pp. 59-65.

Bibliographie

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[11] Loginov B. V., Sidorov N. A., “Gruppovaya simmetriya uravneniya razvetvleniya Lyapunova–Shmidta i iteratsionnye metody v zadache o tochke bifurkatsii”, Matem. sb., 182:5 (1991), 681–691 | MR | Zbl

[12] Sidorov N. A., “Yavnaya i neyavnaya parametrizatsiya pri postroenii razvetvlyayuschikhsya reshenii iteratsionnymi metodami”, Matem. sb., 186:2 (1995), 129–141 | MR | Zbl

[13] Sidorov N. A., “$N$-stupenchatyi iteratsionnyi metod v teorii vetvleniya reshenii nelineinykh uravnenii”, Sib. matem. zhurn., 38:2 (1997), 383–395 | MR | Zbl

[14] Ermilova N. V., Markanova D. Yu., “Iteratsionnye metody razvetvlyayuschikhsya reshenii v sluchae kvazilineinoi glavnoi chasti uravneniya razvetvleniya”, Priblizhennye metody analiza, Izd-vo Irkutsk. gos. ped. in-ta, Irkutsk, 1997, 54–63

[15] Sidorov N. A., Ermilova N. V., Markanova D. Yu., “$N$-stupenchatye iteratsii, kommutiruemost i kvazilineinost uravneniya razvetvleniya v metode Lyapunova–Shmidta”, Priblizhennye metody analiza, Izd-vo Irkutsk. gos. ped. in-ta, Irkutsk, 1997, 75–87 | MR

[16] Sidorov N. A., O neyavnoi parametrizatsii reshenii sistemy razvetvleniya Lyapunova–Shmidta, Dep. VINITI No 2475-B98, Red. zhurn. “Izv. vuzov. Matematika”, 1998, 12 pp.

[17] Sidorov N. A., Trenogin V. A., “Regulyarizatsiya prostykh reshenii nelineinykh uravnenii v okrestnosti tochki vetvleniya”, Sib. matem. zhurn., 20:1 (1978), 180–183 | MR

[18] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978, 399 pp. | MR

[19] Sidorov N. A., “$(T-M)$-kommutiruemost, rang i iteratsii v teorii razvetvlyayuschikhsya reshenii”, Chislennyi analiz, obratnye i nekorrektnye zadachi, Tr. 11-i Baikalsk. mezhdunarodn. shkoly-seminara, sektsiya 4 (5–12 iyulya, 1998), Irkutsk, 1998, 169–172

[20] Sidorov N. A., Abdullin V. R., “Interlaced branching equations and invariance in the theory of nonlinear equations”, Proc. of the Conf. Symmetry and Perturbation Theory (Roma, December 16–22, 1998), World Scientific, 1999, 309–313 | MR | Zbl