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Oscillation Criteria for Some New Generalized Emden‐Fowler Dynamic Equations on Time Scales

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  • Haidong Liu
  • Puchen Liu

Abstract

By means of novel analytical techniques, we have established several new oscillation criteria for the generalized Emden‐Fowler dynamic equation on a time scale 𝕋, that is, (r(t) | ZΔ(t)|α−1ZΔ(t)) Δ + f(t, x(δ(t))) = 0, with respect to the case ∫t0∞r-1/α(s)Δs=∞ and the case ∫t0∞r-1/α(s)Δs 0, and r, p, and q are real valued right‐dense continuous nonnegative functions defined on 𝕋. Noting the parameter value α probably unequal to β, our equation factually includes the existing models as special cases; our results are more general and have wider adaptive range than others′ work in the literature.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:962590
DOI: 10.1155/2013/962590
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