کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633885 | 1340681 | 2008 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Nonlinear oscillation of second order differential equations with state-dependent delays Nonlinear oscillation of second order differential equations with state-dependent delays](/preview/png/4633885.png)
Oscillation and nonoscillation criteria are presented for the second order nonlinear differential equation with state-dependent delay(r(t)|y′(t)|p-1y′(t))′+f(t,y(t),y(Δ(t,y(t))))=0(r(t)|y′(t)|p-1y′(t))′+f(t,y(t),y(Δ(t,y(t))))=0in the case ∫∞r-1/p(s)ds<∞∫∞r-1/p(s)ds<∞. The results established here can be conjugated with the theorems given by Bainov et al. [D.D. Bainov, N.T. Markova, P.S. Simeonov, Asymptotic behavior of the nonoscillatory solutions of differential equations of second order with delay depending on the unknown function, J. Comput. Appl. Math. 91 (1998) 87–96] and Luo [J. Luo, Asymptotic behavior of the solutions of second order quasilinear differential equations with delay depending on the unknown function, J. Comput. Appl. Math. 185 (2006) 133–143].
Journal: Applied Mathematics and Computation - Volume 206, Issue 1, 1 December 2008, Pages 198–204