Advances in Difference Equations
Volume 2009 (2009), Article ID 562329, 10 pages
doi:10.1155/2009/562329
Existence of nonoscillatory solutions to second-order neutral delay dynamic equations on time scales
Tongxing Li
, Zhenlai Han
, Shurong Sun
and Dianwu Yang
School of Science, University of Jinan, Jinan, Shandong 250022, China
Abstract
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation [x(t)+p(t)x(τ0(t))]ΔΔ+q1(t)x(τ1(t))−q2(t)x(τ2(t))=e(t) on a time scale 𝕋. To dwell upon the importance of our results, one interesting example is also included.