IJPAM: Volume 114, No. 3 (2017)

Title

OSCILLATION CRITERIA FOR SECOND ORDER
LINEAR GENERALIZED DIFFERENCE EQUATION

Authors

M. Maria Susai Manuel$^1$, P. Venkata Mohan Reddy$^2$
$^{1,2}$Department of Mathematics
R.M.D. Engineering College
Kavaraipettai - 601 206, Tamil Nadu, S. INDIA

Abstract

In this paper, we obtain some oscillation criteria for the second order generalized linear difference equation
\begin{displaymath} \Delta_{\ell}^2 u(k) + p(k) u(k) = 0 \end{displaymath} (1)

where $k\in[0,\infty)$, $p\in L'([u_0, \infty))$ and $\ell$ is a positive real.

History

Received: April 16, 2017
Revised: April 29, 2017
Published: May 23, 2017

AMS Classification, Key Words

AMS Subject Classification: 39A10, 39A11
Key Words and Phrases: generalized difference equation, oscillation, non-oscillation

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v114i3.18 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 3
Pages: 639 - 646


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