Geodesic
Systems of Briot-Bouquet Equations with Analytic Solutions
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 230-233

Voir la notice de l'article provenant de la source Cambridge University Press

In this note we use functional analysis arguments to prove the existence of families of analytic solutions for the singular system of complex ordinary differential equations zW′ = h(z, W).
DOI : 10.4153/CMB-1982-032-0
Mots-clés : 34A20 
Westreich, David; Podolak, Ester. Systems of Briot-Bouquet Equations with Analytic Solutions. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 230-233. doi: 10.4153/CMB-1982-032-0
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[1] 1. Briot, C. C. A. and Bouquet, J. C., Recherches sur les propriétés des fonctions définies par des equations différentielles, J. Ecole Poly. Tome 21 (1856), 133-197. Google Scholar

[2] 2. Dieudonné, J., Foundations of Modern Analysis, Academic Press, New York, 1960. Google Scholar

[3] 3. Harris, W. A. Jr., Holomorphic solutions of nonlinear differential equations of singular points, SIAM Studies in Appl. Math. 5, (1969), 184-187. Google Scholar

[4] 4. Iwano, M., Analytic expressions for bounded solutions of nonlinear ordinary differential equations with Briot-Bouquet type singularity, Funkcialag Ekracioj, 12 (1969), 41-88. Google Scholar

[5] 5. Kato, T., Perturbation Theory for Linear Operators, Springer-Verlag Berlin (1966). Google Scholar

[6] 6. Sansone, G. and Conti, R., Nonlinear Differential Equations, MacMillan, New York (1964). Google Scholar

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