Solvability of Ordinary Differential Equations Near Singular Points: An Analytic Case
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1303-1313
Voir la notice de l'article provenant de la source Cambridge University Press
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.
Ellis, Homer G. Solvability of Ordinary Differential Equations Near Singular Points: An Analytic Case. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1303-1313. doi: 10.4153/CJM-1967-119-0
@article{10_4153_CJM_1967_119_0,
author = {Ellis, Homer G.},
title = {Solvability of {Ordinary} {Differential} {Equations} {Near} {Singular} {Points:} {An} {Analytic} {Case}},
journal = {Canadian journal of mathematics},
pages = {1303--1313},
year = {1967},
volume = {19},
number = {1},
doi = {10.4153/CJM-1967-119-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-119-0/}
}
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[1] 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] 2. Müller, M., Neure Untersuchungen über den Fundamentalsatz in der Theorie der gewöhnlichen Differentialgleichungen, Jber. Deutsch. Math. Verein., 37 (1928), 33–48. Google Scholar
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