Conditions which preclude the existence of critical solutions of an ordinary differential system
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- by L. P. Burton PDF
- Proc. Amer. Math. Soc. 7 (1956), 791-795 Request permission
References
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W. Osgood, Beweis der Existenz einer Losung der Differentialgleichung $dy/dx = f(x,y)$ ohne Hinzunahme der Cauchy-Lipschitzschen Bedingung, Monatshefte für Mathematik und Physik vol. 9 (1898) pp. 341-345.
- E. Kamke, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II, Acta Math. 58 (1932), no. 1, 57–85 (German). MR 1555344, DOI 10.1007/BF02547774
- L. P. Burton and William M. Whyburn, Minimax solutions of ordinary differential systems, Proc. Amer. Math. Soc. 3 (1952), 794–803. MR 51385, DOI 10.1090/S0002-9939-1952-0051385-X
- Edward James McShane, Integration, Princeton University Press, Princeton, N. J., 1944 1957. MR 0082536
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 791-795
- MSC: Primary 34.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0083627-2
- MathSciNet review: 0083627