About a system of differential equations
The systems of linear differensional equations of firstarder are considered, which with some initial conditions, were very important proving of de-Brange`s theorem about coefficients.Solution of these systems with any initial conditions is given and sufficient conditions of monotone desreasing of the integral curvesof the systems are formulated.
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Authors
| Name | Organization | |
| Kasatkina T.U. | Tomsk State University |
References
De Branges L. A proof of Bieberbach conjecture / Preprints LOMI. 1984. No. E-5-84. P. 1-33.
Александров И.А. Доказательство Л. де Бранжа гипотезы И.М. Милина и гипотезы Л. Бибербаха // Сиб. мат. журн. 1987. Т. 28. С. 7-20.
Прудников А.П., Брычков Ю.А., Марычев О.И. Интегралы и ряды. Дополнительные главы. М.: Наука, 1986.
Xie Ming-Qin. A generalization of the de Branges theorem // Amer. Math. Soc. 1997. V. 125. P. 3605-3611.
