Oscillation criteria for third order nonlinear delay dynamic equations on time scales

• Autorzy: Zhenlai Han , Tongxing Li , Shurong Sun , Fengjuan Cao
• Języki publikacji: EN

Abstrakty

EN

By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations
$((x^{ΔΔ}(t))^γ)^Δ + p(t)x^γ(τ(t)) = 0$
on a time scale 𝕋; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on 𝕋. Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference equations.

Kategorie tematyczne

• 39A21: Oscillation theory
• 34K11: Oscillation theory
• 34N05: Dynamic equations on time scales or measure chains
• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 2
• Strony: 143-156

Daty

wydano

2010

Twórcy

autor

Zhenlai Han

• School of Science, University of Jinan, Jinan, Shandong 250022, P.R. China
• School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P.R. China

autor

Tongxing Li

• School of Science, University of Jinan, Jinan, Shandong 250022, P.R. China

autor

Shurong Sun

• School of Science, University of Jinan, Jinan, Shandong 250022, P.R. China
• Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409-0020, U.S.A.

autor

Fengjuan Cao

• School of Science, University of Jinan, Jinan, Shandong 250022, P.R. China

Identyfikatory

DOI

10.4064/ap99-2-3