Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity-Reference-Cited by-同舟云学术

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

Published:1972-12 Issue:1 Volume:94 Page:109-160
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/BF02413605.pdf

Reference9 articles.

1. P. Hartman,Ordinary differential equations, John Wiley & Sons, New York, 1964.

2. M. Hukuhara,Intégration formelle d’un système des équations différentielles non linéaires dans le voisinage d’un point singulier, Ann. Mat. Pura Appl., (4),19 (1940), pp. 35–44.

3. M. Hukuhara,Sur les points singuliers des équations différentielles linéaires, III, Mem. Fac. Sci. Kyusyu Imp. Univ., Ser. A,2 (1941), pp. 125–137.

4. M. Hukuhara,Renzokuna Kansû no Zoku to Syazô (Family and mapping of continuous functions), Mem. Fac. Sci. Kyusyu Univ.,5 (1950), pp. 61–63.

5. M. Iwano,Intégration analytique d’un système d’équations différentielles nonlinéaires dans le voisinage d’un point singulier, I, Ann. Mat. Pura Appl., (4),44 (1957), pp. 261–292.

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1. On ann-parameter family of solutions of a nonlinearn-System with an irregular type singularity;Annali di Matematica Pura ed Applicata;1985-12

2. 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

3. Laplace integrals in singular differential and difference equations;Ordinary and Partial Differential Equations;1980

4. Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. - II;Annali di Matematica Pura ed Applicata;1974-12

5. Analytic expressions of solutions with the order of positive powers of x near an irregular type singularity;Japan-United States Seminar on Ordinary Differential and Functional Equations;1971