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

Taher S. Hassan, Lynn Erbe and Allan Peterson
Computers & mathematics with applications (1987), Vol.59(1), pp.550-558
01/2010

Abstract

Oscillation Superlinear dynamic equations 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)>0 and f′(x)>0, for x≠0. We illustrate the results by several examples.

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