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Systems of Briot-Bouquet Equations with Analytic Solutions

Published online by Cambridge University Press:  20 November 2018

David Westreich  and
Ester Podolak
David Westreich
Affiliation:
Department of Mathematics Ben Gurion University of the Negev, Beer-Sheva, Israel
Ester Podolak
Affiliation:
Department of Mathematics Beer-Sheva Israel, Ramat-Gan, Israel
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Abstract

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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).

Keywords

34A20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 230 - 233
Copyright
Copyright © Canadian Mathematical Society 1982

References

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. Dieudonné, J., Foundations of Modern Analysis, Academic Press, New York, 1960.Google Scholar
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. 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. Kato, T., Perturbation Theory for Linear Operators, Springer-Verlag Berlin (1966).Google Scholar
6. Sansone, G. and Conti, R., Nonlinear Differential Equations, MacMillan, New York (1964).Google Scholar