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Published in:
1997 | OriginalPaper | Chapter
Oscillation via Summation Averages
Authors : Ravi P. Agarwal, Patricia J. Y. Wong
Published in: Advanced Topics in Difference Equations
Publisher: Springer Netherlands
Included in: Professional Book Archive
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Here, we shall employ the summation averaging technique to establish necessary conditions for the existence of a nonoscillatory solution of the second order nonlinear difference equation 13.1 $${\Delta ^2}y\left( k \right) + A\left( {k,y\left( k \right)} \right) = B\left( {k,y\left( k \right),\Delta y\left( k \right)} \right),{\mkern 1mu} k \in N\left( {{k_0}} \right).$$