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A general solution of a system of nonlinear ordinary differential equations \(xy'=f(x,y)\) in the case when \(f^ y(0,0)\) is the zero matrix. (English) Zbl 0196.10201


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[1] Hukuhara, M., Sur les points singuliers d’une équation différentielle ordinaire du premier ordre, I, Mem. Fac. Engrg. Kyushu Imp. Univ., 8, 203-247 (1937) · JFM 64.1142.03
[2] Hukuhara, M., Pri la elvolvado de solvo de diferentialaj ekvacioj en la chirkauajho de ilia singula punkto, Mem. Fac. Sci. Kyushu Imp. Univ., 4, 1-7 (1949)
[3] Hukuhara, M., Renzokuna Kansû no Zoku to Syazô, Mem. Fac. Sci. Kyushu Univ., 5, 61-63 (1950)
[4] – –,Êquations différentielles ordinaires du premier ordre dans le champ complex (avec T. Kimura et M^me T. Matuda). Publication Math. Soc. Japan, No7 (1961). This book is a compilation of many years study of Hukuhara and his students in the field of the analytic theory. The references in this book are excellent for this field.
[5] Iwano, M., Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point, Ann. Mat. Pura Appl., LXXXII, IV, 189-256 (1969) · Zbl 0195.10102
[6] Kimura, T., Sur une généralisation d’un théorème de Malmquist, I, II, III, Comment. Math. Sancti Pauli, 2, 23-28 (1953) · Zbl 0052.08903
[7] Malmquist, J., Sur les fonctions d’un nombre fini de branches définies par les équations différentielles du premier ordre, Acta Math., 36, 297-343 (1913) · JFM 44.0384.01
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