Article

 Title: Criteria of property $A$ for third order superlinear differential equations (English) Author: Škerlík, Anton Language: English Journal: Mathematica Slovaca ISSN: 0139-9918 Volume: 43 Issue: 2 Year: 1993 Pages: 171-183 . Category: math . MSC: 34C10 MSC: 34C11 idZBL: Zbl 0776.34028 idMR: MR1274600 . Date available: 2009-09-25T10:47:20Z Last updated: 2012-08-01 Stable URL: http://hdl.handle.net/10338.dmlcz/129788 . Reference: [1] ELIAŠ J.: Properties of the nonoscillatory solution for a third order nonlinear differential equation.Mat. časopis 20 (1970), 249-253. Zbl 0213.36602, MR 0303007 Reference: [2] ERBE L.: Oscillation, nonoscilation and asymptotic behavior for third order nonlinear differential equations.Ann. Mat. Pura Appl. (4) 110 (1976), 373-391. MR 0427738 Reference: [3] CECCHI M., MARINI M.: On the oscillatory behavior of a third order nonlinear differential equation.Nonlinear Anal. 15 (1990), 141-153. MR 1065248 Reference: [4] GRACE S. R.: Oscillation of even order nonlinear functional differential equations with deviating arguments.Math. Slovaca 41 (1991), 189-204. Zbl 0753.34047, MR 1108581 Reference: [5] LAZER A. C.: The behavior of solutions of the differential equation $y''' + p(x)y' + q(x)y = 0$.Pacific J. Math. 17 (1966), 435-466. Zbl 0143.31501, MR 0193332 Reference: [6] LIČKO I., ŠVEC M.: La caractère oscillatoire des solutions de l'èquation $y^{(n)} + f(t)y^\alpha = 0$, $n > 1$.Czechoslovak Math. J. 13(88) (1963), 481-491. MR 0161001 Reference: [7] MIKUŠINSKI J.: On Fite's oscillation theorems.Colloq. Math. 2 (1949), 34-39. Zbl 0039.31302, MR 0041307 Reference: [8] NELSON J. L.: A stability theorem for a third order nonlinear differential equation.Pacific J. Math. 24 (1968), 341-344. Zbl 0155.13901, MR 0223664 Reference: [9] ŠKERLÍK A.: Oscillation theorems for third order nonlinear differential equations.Math. Slovaca 42 (1992), 471-484. Zbl 0760.34031, MR 1195041 Reference: [10] ŠOLTÉS P.: A remark on the oscillatoriness of solutions of a nonlinear third order equation.Mat. Časopis 23 (1973), 326-332. MR 0340719 .

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