interval oscillation criteria for second-order nonlinear forced dynamic equations with damping on time scales
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2013
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Abstract
By using the Riccati transformation technique and constructing a class of Philos-type functions on time scales, we establish some new interval oscillation criteria for the second-order damped nonlinear dynamic equations with forced term of the form (r(t)xΔ(t))Δ+p(t)xΔσ(t)+q(t)(xσ(t))α=F(t,xσ(t)) on a time scale 𝕋 which is unbounded, where α is a quotient of odd positive integer. Our results in this paper extend and improve some known results. Some examples are given here to illustrate our main results.
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sun2013abstractinterval
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|---|---|
| Authors | ;Yibing Sun;Zhenlai Han;Shurong Sun;Chao Zhang |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/359240
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| URL | |
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