A necessary condition for the existence of singularity-free global solutions to nonlinear ordinary differential equations

Rosen, Gerald

doi:10.1090/qam/241734

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
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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)