Affiliation:
1. Harbin Institute of Technology at Weihai
Abstract
A new oscillation criterion is established for a certain class of second-order nonlinear differential equation x"(t)-b(t)x'(t)+c(t)g(x)=0, x"(t)+c(t)g(x)=0 that is different from most known ones. Some applications of the result obtained are also presented. Our results are sharper than some previous ones.
Publisher
Trans Tech Publications, Ltd.
Reference12 articles.
1. Q. Kong, Interval criteria for oscillation of second-order linear ordinary differential equations,J. Math. Appl. 229(1999)258-270.
2. CH.G. Philos, Oscillation theorems for linear differential equations of second-order, Arch. Math. (Basel)53(1989)482-492.
3. Yuan Gong Sun, New kamenev-type oscillation criteria for oscillation of second-order non-linear differential equations with damping,J. Math. Anal. Appl. 291(2004)341-351.
4. J. Sugie,N. Yamaoka, Oscillation of solutions of second-order nonlinear self-adjiont differential equations,J. Math. Anal. Appl. 291(2004)387-405.
5. F. Meng and J. Wang, Oscillation criteria for second order quasi-linear neutral delay differ-ential equations ,J. Indones. Math. Soc(MIHMI)vol. 10 No. 2(2004), pp.61-75.