Oscillation and nonoscillation criteria for second order quasilinear differential equations

Acta Mathematica Hungarica

Volumn 76, Issue 1-2, 1997, Pages 81-99

  Kusano, T ^a   Naito, Y ^b  

^a FUKUOKA UNIVERSITY   (Japan)

^b KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031184678     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02907054     Document Type: Article

References (8)

1. Á. Elbert, A half-linear second order differential equation, Colloquia Math. Soc. János Bolyai 30: Qualitative Theory of Differential Equations (Szeged, 1979), 153-180.
2. Á. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations, Lecture Notes in Mathematics, Vol. 964: Ordinary and Partial Differential Equations (1982), pp. 187-212.
3. E. Hille, Non-oscillation theorems, Trans. Amer. Math. Soc., 64 (1948), 234-252.
4. T. Kusano, Y. Naito, and A. Ogata, Strong oscillation and nonoscillation of quasilinear differential equations of second order, Differential Equations and Dynamical System, 2 (1994), 1-10.
5. T. Kusano, and N. Yoshida, Nonoscillation theorems for a class of quasilinear differential equations of second order, J. Math. Anal. Appl., 189 (1995), 115-127.
6. D. D. Mirzov, On some analogs of Sturm's and Kneser's theorems for nonlinear systems, J. Math. Anal. Appl., 53 (1976), 418-425.
7. D. D. Mirzov, On the oscillation of solutions of a system of differential equations, Mat. Zametki, 23 (1978), 401-404 (Russian).
8. Z. Nehari, Oscillation criteria for second-order linear differential equations, Trans. Amer. Math. Soc., 85 (1957), 428-445.