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Nonlinear Sturm-Liouville problems for second order ordinary differential equations. (English) Zbl 0206.09706


MSC:

34B24 Sturm-Liouville theory
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[1] Crandall, J. Math. Mech. 19 pp 1083– (1970)
[2] Leray, Ann. Sci. Ecole Norm., Sup. 3 pp 45– (1934)
[3] Wolkowisky, Arch. Rational Mech. Anal. 35 pp 299– (1969)
[4] and , Theory of Ordinary Differential Equations (Chapters 7 and 8), McGraw-Hill, New York, 1955.
[5] Topological Methods in the Theory of Nonlinear Integral Equations (Chapter 2), New York, Macmillan, 1965.
[6] Crandall, J. Funct. Anal.
[7] Topological Analysis (Chapter 1), Princeton University Press, Princeton, 1958.
[8] General Topology (Chapters 4 and 5), D. Van Nostrand Co., Inc., Princeton, 1955.
[9] and , Methods of Mathematical Physics, Vol. I (Chapter 6), Interscience, New York, 1953.
[10] Dieudonné, Arch., Math. 2 pp 49– (1949)
[11] Turner, Comm. Pure Appl. Math. 23 pp 963– (1970)
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