Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity.

Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. - II

Published:1974-12 Issue:1 Volume:99 Page:221-246
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata
language:en
Short-container-title:Annali di Matematica

Author:

Iwano Masahiro

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02413727.pdf

Reference5 articles.

1. M. Hukuhara,Intégration formelle d'un système d'équations différentielles non linéaires dans le voisinage d'un point singulier, Ann. di Mat. pura e appl., (V),19 (1940), pp. 35–44.

2. M. Hukuhara,Sur les points singuliers des équations différentielles linéaires, III, Mem. Fac. Sci. Kyûsyû Imp. Univ.,2 (1942), pp. 125–137.

3. M. Hukuhara,Renzokuna Kansû no Zoku to Syazô, Mem. Fac. Sci. Kyûsyû Univ.,5 (1950), pp. 161–163;Sur l'existence des points invariants d'une transformation dans l'espace fonctionnel, Japanese Jour. Math.,20 (1950), pp. 1–4.

4. M. Iwano,Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point, Ann. di Mat. pura e appl. (IV),82 (1969), pp. 189–256.

5. M. Iwano,Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity, ibid.,94 (1972), pp. 109–160.

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1. On a general solution of a nonlinearn-system of the form 331-01331-01331-01with a constant diagonal matrix 1n(μ) of signature (m, n−m);Annali di Matematica Pura ed Applicata;1982-12