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Solvability of Ordinary Differential Equations Near Singular Points: An Analytic Case

Published online by Cambridge University Press:  20 November 2018

Homer G. Ellis
Homer G. Ellis*
Affiliation:
University of Colorado, Boulder, Colorado
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The question of solvability of the differential equation

1

with x ranging over an interval (0, a], and with the boundary condition ƒ(0+) = 0, can be investigated as an initial-value problem at 0, which may be a singular point for the equation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1303 - 1313
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Ellis, H. G., Solvability of the initial-value problem for ordinary differential equations near singular points, Trans. Amer. Math. Soc., 119 (1965), 1–20.Google Scholar
2. Müller, M., Neure Untersuchungen über den Fundamentalsatz in der Theorie der gewöhnlichen Differentialgleichungen, Jber. Deutsch. Math. Verein., 37 (1928), 33–48.Google Scholar