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

Authors:
L. Erbe;A. Peterson;S. H. Saker
Affiliations:
Department of Mathematics, University of Nebraska-Lincoln, 824 Oldfather Hill, Lincoln, NE 68588-0323, USA;Department of Mathematics, University of Nebraska-Lincoln, 824 Oldfather Hill, Lincoln, NE 68588-0323, USA;Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

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^@D(t))^@D)^@D+q(t)f(x(t))=0,t=t"0,oscillates or converges to zero.