Interval oscillation criteria for second-order nonlinear differential equations

Ukrainian Mathematical Journal

Volumn 53, Issue 9, 2001, Pages 1391-1406

  Li, Wan Tong ^a   Agarwal, R P ^b  

^a LANZHOU UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141965392     PISSN: 00415995     EISSN: 15739376     Source Type: Journal    
DOI: 10.1023/A:1014350221388     Document Type: Article

References (22)

1. S. R. Grace and B. S. Lalli, "An oscillation criterion for second-order strongly sublinear differential equations," J. Math. Anal. Appl, 123, 584-588 (1987).
2. T. A. Burton and R. G. Grimmer, "Stability properties of (ru′)′ + af(u)g(u′)" Monatsh. Math., 74, 221-222 (1970).
3. J. R. Graef and P. W. Spikes, "Asymptotic behavior of solutions of a second-order nonlinear differential equation," J. Different. Equat., 17,451-476(1975).
4. J. R. Graef and P. W. Spikes, "Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation," J. Math. Anal. Appl., 62, 295-309 (1978).
5. B. S. Lalli, "On boundedness of solutions of certain second-order differential equations," J. Math. Anal. Appl., 25, 182-188 (1969).
6. J. S. W. Wong and T. A. Burton, "Some properties of solutions of u″ + a(t)f(u)g(u′) = 0" Monatsh. Math., 69, 364-374 (1965).
7. W. T. Li and R. P. Agarwal, "Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations," J. Math. Anal. Appl. (to appear).
8. Yu. V. Rogovchenko, "Oscillation criteria for certain nonlinear differential equations," J. Math. Anal. Appl., 229, 399-416 (1999).
9. M. A. Ei-Sayed, "An oscillation criterion for a forced second-order linear differential equation," Proc. Amer. Math. Soc., 118, 813-817(1993).
10. J. S. W. Wong, "Oscillation criteria for a forced second-order linear differential equation," J. Math. Anal. Appl., 231,235-240 (1999).
11. W. T. Li and R. P. Agarwal, "Interval oscillation criteria for a forced nonlinear ordinary differential equation," Analicable Anal. (to appear).
12. C. C. Huang, "Oscillation and nonoscillation for second-order linear differential equations," J. Math. Anal. Appl., 210, 712-723 (1997).
13. H. J. Li, "Oscillation criteria for forced second-order linear differential equations," J. Math. Anal. Appl., 194, 217-234 (1995).
14. W.T.Li, "Oscillation of certain second-order nonlinear differential equations," J. Math. Anal. Appl., 217, 1-14(1998).
15. Q. Kong, "Interval criteria for oscillation of second-order linear ordinary differential equations," J. Math. Anal. Appl., 229, 258-270(1999).
16. C. G. Philos, "Oscillation theorems for linear differential equations of second order," Arch. Math. (Basel), 53, 482-492 (1989).
17. W. T. Li and R. P. Agarwal, "Interval oscillation criteria for second-order nonlinear differential equations with damping," Comput. Math. Appl. (to appear).
18. I. V. Kamenev, "Oscillation criteria related to averaging of solutions of second-order differential equations," Différents. Uravn., 10,246-2521974.
19. G. J. Butler, L. H. Erbe, and A. B. Ingarelli, "Riccati techniques and variational principles in oscillation theory for linear systems," Trans. Amer. Math. Soc., 303, 263-282 (1987).
20. R. Byers, B. J. Harri, and M. K. Kwong, "Weighted means and oscillation conditions for second-order matrix differential equations," J. Different. Equal., 61, 164-177 (1986).
21. P. J. Y. Wong and R. P. Agarwal, "Oscillatory behavior of solutions of certain second-order nonlinear differential equations," J. Math. Anal. Appl., 198, 337-354 (1996).
22. S. R. Grace and B. S. Lalli, "Integral averaging technique for the oscillation of second-order nonlinear differential equations," J. Math. Anal. Appl., 149, 277-311 (1990).