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Title: Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order (English)
Author: Kulcsár, Štefan
Author: Šoltés, Pavel
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 19
Issue: 1
Year: 1983
Pages: 43-56
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Category: math
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MSC: 34C11
MSC: 34C15
idZBL: Zbl 0533.34029
idMR: MR724307
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Date available: 2008-06-06T06:11:49Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107154
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Reference: [1] J. R. Graef P. W. Spikes: Asymptotic behaviour of solutions of a second order nonlinear differential equation.Journal of Differential Equations 17, (1975), 461-476. MR 0361275
Reference: [2] I. T. Kiguradze: Zametka ob ograničennosti rešenij differenciaľnych uravnenij.Trudy Tbilisskogo gosudarstvennogo universiteta, t. 110, (1965), 103-107. MR 0208089
Reference: [3] P. Šoltés: On certain properties of the solutions of a nonlinear differential equation of the second order.Scripta Fac. Sci. Mat. UJEP Brunensis, Arch. Math. 2, VII, (1971), 47-63. MR 0303012
Reference: [4] P. Šoltés: Boundedness and oscillatoriness of solutions of the equation $y" + a(x) g(y, y') + b(x) f(y)h(y') = 0$.Annales Polonici Mathematici XXVIII, (1973), 291-296. MR 0342770
Reference: [5] P. Šoltés: Oscillatoriness of solutions of a nonlinear second order differential equation.Math. Slovaca 26, No. 4, (1976), 337-342. MR 0432978
Reference: [6] P. Waltman: Some properties of solutions of u'' + a(t)f(u) = 0.Monatshefte für Mathematik 67, (1963), 50-54. Zbl 0116.29401, MR 0147700
Reference: [7] J. S. Wong: Boundedness theorems for certain general second order nonlinear differential equations.Monatshefte für Mathematik 71, (1967), 80-86.
Reference: [8] J. S. Wong T. A. Burton: Some properties of solutions $u'' + a(t) f(u) g(u') = 0$.Monatshefte für Mathematik 69, (1965), 368-374. MR 0186885
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