Czechoslovak Mathematical Journal

, Volume 60, Issue 3, pp 817–833

On asymptotic behavior of solutions of n-TH order Emden-Fowler differential equations with advanced argument

Article

Abstract

We study oscillatory properties of solutions of the Emden-Fowler type differential equation
$$ u^{(n)} (t) + p(t)|u(\sigma (t))|^\lambda signu(\sigma (t)) = 0, $$
where 0 < λ < 1, pLloc(ℝ+; ℝ), σC(ℝ+; ℝ+) and σ(t) ≥ t for t ∈ ℝ+.

Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established.

Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).

Keywords

proper solution property A property B 

MSC 2010

34K15 34C10 

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References

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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2010

Authors and Affiliations

  1. 1.Department of Mathematics of Tbilisi State UniversityTbilisiGeorgia

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