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Article

Title: On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations (English)
Author: Palumbíny, Oleg
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 47
Issue: 5
Year: 1997
Pages: 527-537
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Category: math
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MSC: 34C10
MSC: 34C12
idZBL: Zbl 0942.34031
idMR: MR1635224
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Date available: 2009-09-25T11:26:15Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136712
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Reference: [3] LEIGHTON W., NEHARI Z.: On the oscillation of solutions of self-adjoint linear differential equations of the fourth order.Trans. Ameг. Math. Soc. 89 (1958), 325-377. MR 0102639
Reference: [4] PHILOS, CH. G.: Oscillation and asymptotic behaviour of third order linear differential equations.Bull. Inst. Math. Acad. Sinica 11 (1983), 141-160. MR 0723022
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Reference: [7] ROVDEROVA E.: Existence of a monotone solution of a nonlinear differential equation.J. Math. Anal. Appl. 192 (1995), 1-15. MR 1329409
Reference: [8] SHAIR A.: On the oscillation of solutions of a class of linear fourth order differential equations.Pacific J. Math. 34 (1970), 289-299. MR 0268455
Reference: [9] ŠKERLÍK A.: Criteria of property A for third order superlinear differential equations.Math. Slovaca 43 (1993), 171-183. Zbl 0776.34028, MR 1274600
Reference: [10] ŠVEC M.: On various properties of the solutions of third and fourth order linear differential equations.In: Proceedings of the conference held in Prague in September 1962, pp. 187-198. MR 0174825
Reference: [11] ŠVEC M.: Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung,/.Czechoslovak Math. J. 4(79) (1954), 75-94. MR 0065745
Reference: [12] TÓTHOVÁ M.-PALUMBÍNY O.: On monotone solutions of the fourth order ordinary differential equations.Czechoslovak Math. J. 45(120) (1995), 737-746. Zbl 0849.34023, MR 1354930
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