[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.495

OSCILLATION THEOREMS OF SOLUTIONS FOR SOME DIFFERENTIAL EQUATIONS

Kim, Rak-Joong (Department of Mathematics Hallym University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 495-506 More about this Journal

Abstract

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

Keywords

oscillation; delay equation; half-linear equation;

Citations & Related Records

Reference

1	Nonoscillation theorems for a sublinear ordinary differential equation / [ M. K. Kong;J. S. W. Wong ] / Proc. Amer. Math. Soc. DOI ScienceOn
2	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. DOI
3	Oscillation of second order differential equation with mixed argument / [ J. Dzurina ] / J. of Math. Anal. Appl. DOI ScienceOn
4	A criterion of oscillatory stability / [ A. Winter ] / Quart. Appl. Math. DOI ScienceOn
5	On Kamenev-Type Oscillation Theorems for Second-Order Differential Equations with Damping / [ J. S. W. Wong ] / J. Math. Anal. Appl. DOI ScienceOn
6	Generalizing Hartman's oscillation result for (\|x'(t)\|<TEX>$^{p-2}$</TEX>x'(t)' + c(t)\|x(t)\|<TEX>$^{p-2}$</TEX>x = 0,p > 1 / [ M. Del Pino;M. Elgueta;R. Manasevich ] / Houston J. Math. DOI ScienceOn
7	Oscillation criteria for second order nonlinear delay equations / [ L. Erbe ] / Canad. Math. Bull. DOI
8	A half-linear second order differential equation. in "Qualitative Theory of Differential Equations." / [ A. Elbert ] / Colloq. Math. Soc. Janos Bolyai. DOI ScienceOn
9	Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations in "Ordinary and Partial Differential Equations." / [ A. Elbert ] / Lecture Notes in Mathematics. DOI
10	Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations / [ A. Elbert;T. Kusano ] / Acta Math. Hungar. DOI
11	Nonoscillation theorems for a nonlinear differential equation / [ H. E. Gollwitzer ] / Proc. Amer. Math. Soc.
12	A nonoscillation theorem for a nonlinear second order differential equation / [ J. W. Heidel ] / Proc. Amer. Math. Soc. DOI ScienceOn
13	Oscillation theorems for linear differential equations / [ Ch. G. Philos ] / Arch. Math. DOI ScienceOn
14	Oscillation Criteria for certain nonlinear differential equations / [ Y. V. Rogovchenko ] / J. Math. Anal. Appl. DOI ScienceOn
15	Oscillation Criteria for certain nonlinear differential equations / [ Y. V. Rogovchenko ] / J. Math. Anal. Appl. DOI ScienceOn
16	Nonoscillation theorems for a class of quasilinear differential equations of second order / [ K. Takasi ] / J. Math. Anal. Appl. DOI ScienceOn