# OSCILLATION THEOREMS OF SOLUTIONS FOR SOME DIFFERENTIAL EQUATIONS

• Published : 2004.07.01

#### Abstract

Some oscillation criteria are given for second order nonlinear differential equations by means of integral averaging technique.

#### References

1. J. of Math. Anal. Appl. v.190 Oscillation of second order differential equation with mixed argument J. Dzurina https://doi.org/10.1006/jmaa.1995.1114
2. Colloq. Math. Soc. Janos Bolyai. v.30 A half-linear second order differential equation. in "Qualitative Theory of Differential Equations." A. Elbert https://doi.org/10.1006/jmaa.1995.1114
3. Lecture Notes in Mathematics. v.964 Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations in "Ordinary and Partial Differential Equations." A. Elbert https://doi.org/10.1007/BFb0064999
4. A. Elbert, Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations in \Ordinary and Partial Differential Equations." Lecture Notes in Mathematics., vol. 964, Springer-Verlag, New York /Berlin, 1982, pp. 187-212. https://doi.org/10.1007/BFb0064999
5. Acta Math. Hungar. v.56 Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations A. Elbert;T. Kusano https://doi.org/10.1007/BF01903849
6. Canad. Math. Bull. v.16 Oscillation criteria for second order nonlinear delay equations L. Erbe https://doi.org/10.1007/BF01903849
7. Proc. Amer. Math. Soc. v.26 Nonoscillation theorems for a nonlinear differential equation H. E. Gollwitzer
8. Proc. Amer. Math. Soc. v.22 A nonoscillation theorem for a nonlinear second order differential equation J. W. Heidel https://doi.org/10.2307/2036807
9. Proc. Amer. Math. Soc. v.87 Nonoscillation theorems for a sublinear ordinary differential equation M. K. Kong;J. S. W. Wong https://doi.org/10.2307/2043634
10. Arch. Math. v.53 Oscillation theorems for linear differential equations Ch. G. Philos https://doi.org/10.2307/2043634
11. J. Math. Anal. Appl. v.215 Oscillation Criteria for certain nonlinear differential equations Y. V. Rogovchenko https://doi.org/10.1006/jmaa.1997.5595
12. J. Math. Anal. Appl. v.229 Oscillation Criteria for certain nonlinear differential equations Y. V. Rogovchenko https://doi.org/10.1006/jmaa.1998.6148
13. J. Math. Anal. Appl. v.189 Nonoscillation theorems for a class of quasilinear differential equations of second order K. Takasi https://doi.org/10.1006/jmaa.1995.1007
14. Quart. Appl. Math. v.7 A criterion of oscillatory stability A. Winter https://doi.org/10.1006/jmaa.1995.1007
15. J. Math. Anal. Appl. v.258 On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations with Damping J. S. W. Wong https://doi.org/10.1006/jmaa.2000.7376
16. Houston J. Math. v.17 Generalizing Hartman's oscillation result for (|x'(t)|$^{p-2}$x'(t)' + c(t)|x(t)|$^{p-2}$x = 0,p > 1 M. Del Pino;M. Elgueta;R. Manasevich https://doi.org/10.1006/jmaa.2000.7376