Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:181

Article

Erbe, L ; Peterson, A ; Saker, SH

关键词: oscillation;    third-order nonlinear dynamic equation;    time scale;    Riccati transformation technique;   

DOI  :  10.1016/j.cam.2004.11.021

来源: Elsevier

【 摘 要 】

in this paper, we will establish some sufficient conditions which guarantee that every solution of the third-order nonlinear dynamic equation (c(t)(a(t)x(Delta)(t))(Delta))(Delta) + q(t)f(x(t)) = 0, t >= t(0), oscillates or converges to zero. (c) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free