Oscillation theorems for second order difference equations woth negative neutral term

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Published: Dec 22, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1827
Keywords:
Oscillation Second-order Neutral difference equation Negative neutral term

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Ethiraju Thandapani
Devarajulu Seghar
Sandra Pinelas

Abstract

In this paper we obtain some new oscillation criteria for the neutral difference equation \begin{equation*} \Delta \Big(a_n (\Delta (x_n-p_n x_{n-k}))\Big)+q_n f(x_{n-l})=0 \end{equation*} where $0\leq p_n\leq p0$ and $l$ and $k$ are positive integers. Examples are presented to illustrate the main results. The results obtained in this paper improve and complement to the existing results.

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How to Cite
Thandapani, E., Seghar, D., & Pinelas, S. (2015). Oscillation theorems for second order difference equations woth negative neutral term. Tamkang Journal of Mathematics, 46(4), 441–451. https://doi.org/10.5556/j.tkjm.46.2015.1827
Issue
Vol. 46 No. 4 (2015)
Section
Papers
Author Biographies

Ethiraju Thandapani

Ramanujan Institute for Advanced Study inMathematics, University ofMadras, Chennai -600 005, India.

Devarajulu Seghar

Ramanujan Institute for Advanced Study inMathematics, University ofMadras, Chennai -600 005, India.

Sandra Pinelas

AcademiaMilitar,Departamento de Ciencias Exactas eNaturais, Av. Conde CastroGuimaraes, 2720-113 Amadora, Portugal.

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