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Title: Finiteness of the set of solutions of some boundary-value problems for ordinary differential equations (English)
Author: Brüll, L.
Author: Mawhin, Jean
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 24
Issue: 4
Year: 1988
Pages: 163-172
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Category: math
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MSC: 34B15
MSC: 34C25
idZBL: Zbl 0678.34023
idMR: MR983234
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Date available: 2008-06-06T06:19:08Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107324
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Reference: [1] S. R. Bernfeld, V. Lakshmikantham: An introduction to nonlinear boundary value problems.Academic Press, New York, 1974. Zbl 0286.34018, MR 0445048
Reference: [2] L. Bгüll, H.-P. Hölters: A geometric approach to bifurcation for nonlinear boundary value problems.preprint, Univ. Köln, 1984.
Reference: [3] H. Ehrmann: Über die Existenz der Lösungen von Randwertaufgaben bei gewöhnlichen nichtlinearen Differentiaigleichungen zweiter Ordnung.Math. Ann. 134 (1957), pp. 167-194. MR 0092056
Reference: [4] H. Ehrmann: Nachweis periodischer Lösungen bei gewissen nichtlinearen Schwingungsdifferentialgleichungen.Arch. Rat. Mech. Anal. 1 (1957), pp. 124-138. Zbl 0078.07802, MR 0104018
Reference: [5] R. E. Gaines, J. Mawhin: Coincidence degree and nonlinear differential equations.Lect. Notes Math. No. 568, Springeг, Berlin, 1977. Zbl 0339.47031, MR 0637067
Reference: [6] J. Mawhin: Topological degree methods in nonlinear boundary value problems.CBMS Regional Conf. Series Math. No. 40, Amer. Math. Soc., Providence, 1979. Zbl 0414.34025, MR 0525202
Reference: [7] J. Mawhin: Compacité, monotonie et convexité dans l'étude de problèmes aux limites semilinéaires.Sémin. Analyse Moderne No. 19, Univ. Sherbrooke, Sherbrooke, 1981.
Reference: [8] J. Mawhin: Nonresonance conditions of nonuniform type in nonlinear boundary value problems.in: Dynamical systems II, Academic Press, New Yoгk, 1982, pp. 255-276. Zbl 0542.34016, MR 0703699
Reference: [9] V. A. Pliss: Nonlocal problems of the theory of nonlinear oscillations.Academic Press, New York, 1966. MR 0196199
Reference: [10] B. V. Schmitt, N. Sari: Solutions périodiques paires et harmoniques-impaires de l'équation du pendule forcé.J. Méc. Théor. Appl., to appear. Zbl 0568.70026, MR 0778142
Reference: [11] B. V. Schmitt, N. Sari: Sur la structure de l'équation du pendule forcé.to appear. Zbl 0581.70021
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