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Online ISSN 1552-4485; Print ISSN 0033-569X
A necessary condition for the existence of singularity-free global solutions to nonlinear ordinary differential equations
Author:
Gerald Rosen
Journal:
Quart. Appl. Math. 27 (1969), 133-134
MSC:
Primary 34.04
DOI:
https://doi.org/10.1090/qam/241734
MathSciNet review:
241734
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Thomas L. Saaty and Joseph Bram, Nonlinear mathematics, McGraw-Hill Book Co., New York, 1964. MR 0164812
- M. A. Krasnosel’skii, Topological methods in the theory of nonlinear integral equations, The Macmillan Co., New York, 1964. Translated by A. H. Armstrong; translation edited by J. Burlak; A Pergamon Press Book. MR 0159197
- Zeev Nehari, On a class of nonlinear second-order differential equations, Trans. Amer. Math. Soc. 95 (1960), 101–123. MR 111898, DOI https://doi.org/10.1090/S0002-9947-1960-0111898-8
- Gerald Rosen, Solutions of a certain nonlinear wave equation, J. Math. and Phys. 45 (1966), 235–265. MR 213716
- Zeev Nehari, On a nonlinear differential equation arising in nuclear physics, Proc. Roy. Irish Acad. Sect. A 62 (1963), 117–135 (1963). MR 165176 V. P. Sirikov, Soviet Math. Dokl. 6, 1040 (1965)
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Article copyright:
© Copyright 1969
American Mathematical Society