Nonoscillatory Solutions of Second‐Order Superlinear Dynamic Equations with Integrable Coefficients

Quanwen Lin and Baoguo Jia

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales (r(t)xΔ(t)) Δ+p(t)|x(σ(t))|γsgnx(σ(t))=0, γ > 1, is discussed under the condition that P(t)=limτ→∞∫tτp(s)Δs exists and P(t) ≥ 0 for large t.

Date: 2012
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https://doi.org/10.1155/2012/812165

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:812165

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