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Zbl 1075.39010
Erbe, L.; Peterson, A.; Saker, S.H.
Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. (English)
[J] J. Comput. Appl. Math. 181, No. 1, 92-102 (2005). ISSN 0377-0427

Authors' abstract: We establish some sufficient conditions which guarantee that every solution of the third order nonlinear dynamic equation $(c(t)(a(t)x^\Delta (t))^\Delta )^\Delta +q(t)f(x(t))=0,$ $t\geq t_0,$ oscillates or converges to zero.
[Fozi Dannan (Damascus)]

MSC 2000:: *39A12 Discrete version of topics in analysis

Keywords: oscillation; third-order nonlinear dynamic equation; time scale; Riccati transformation technique; asymptotics; convergence

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