Oscillation of second order superlinear dynamic equations with damping on time scales

This paper concerns the oscillation of solutions to the second order superlinear dynamic equation with damping (r(t)xΔ(t))Δ+p(t)xΔ(t)+q(t)f(xσ(t))=0, on a time scale T which is unbounded above. No sign conditions are imposed on r(t), p(t) and q(t). The function f∈C(R,R) is assumed to satisfy xf(x)&g...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2010-01, Vol.59 (1), p.550-558
Main Authors: Hassan, Taher S., Erbe, Lynn, Peterson, Allan
Format: Article
Language:English
Subjects:
Oscillation
Superlinear dynamic equations
Time scales
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Summary:This paper concerns the oscillation of solutions to the second order superlinear dynamic equation with damping (r(t)xΔ(t))Δ+p(t)xΔ(t)+q(t)f(xσ(t))=0, on a time scale T which is unbounded above. No sign conditions are imposed on r(t), p(t) and q(t). The function f∈C(R,R) is assumed to satisfy xf(x)>0 and f′(x)>0, for x≠0. We illustrate the results by several examples.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2009.06.030