By employing the generalized Riccati transformation technique,we will establish some newoscillation criteria and study the asymptotic behavior of the nonoscillatory solutions of the second-ordernonlinear neutral delay...By employing the generalized Riccati transformation technique,we will establish some newoscillation criteria and study the asymptotic behavior of the nonoscillatory solutions of the second-ordernonlinear neutral delay dynamic equation[r(t)[y(t)+p(t)y(■(t))]~Δ]~Δ+q(t)f(y((δ(t)))=0on a time scale■.The results improve some oscillation results for neutral delay dynamic equationsand in the special case when■our results cover and improve the oscillation results for second-order neutral delay differential equations established by Li and Liu[Canad.J.Math.,48(1996),871 886].When■,our results cover and improve the oscillation results for second order neutraldelay difference equations established by Li and Yeh[Comp.Math.Appl.,36(1998),123-132].When■■our results are essentially new.Someexamples illustrating our main results are given.展开更多
文摘By employing the generalized Riccati transformation technique,we will establish some newoscillation criteria and study the asymptotic behavior of the nonoscillatory solutions of the second-ordernonlinear neutral delay dynamic equation[r(t)[y(t)+p(t)y(■(t))]~Δ]~Δ+q(t)f(y((δ(t)))=0on a time scale■.The results improve some oscillation results for neutral delay dynamic equationsand in the special case when■our results cover and improve the oscillation results for second-order neutral delay differential equations established by Li and Liu[Canad.J.Math.,48(1996),871 886].When■,our results cover and improve the oscillation results for second order neutraldelay difference equations established by Li and Yeh[Comp.Math.Appl.,36(1998),123-132].When■■our results are essentially new.Someexamples illustrating our main results are given.
