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Published in:
1997 | OriginalPaper | Chapter
Oscillation for Nonlinear Difference Equations
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 offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation 14.1 $$\Delta \left( {a\left( {k - 1} \right){{\left( {\Delta y\left( {k - 1} \right)} \right)}^\sigma }} \right) + A\left( {k,y\left( k \right)} \right) = B\left( {k,y\left( k \right),\Delta y\left( k \right)} \right),k \in N\left( 1 \right)$$ where as in equation (12.1), σ is a positive quotient of odd integers (odd/odd), or even over odd integers (even/odd).