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Session 7. Difference equations and their application in the mathematical modeling
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Almost Oscillation Criteria for Second--Order Neutral Difference Equation with Quasidifferences |
Robert Jankowski, University of Białystok, Poland
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The talk is based on the joint work with Ewa Schmeidel.
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Some almost oscillation criteria for the second--order nonlinear neutral difference equation with quasidifferences
\begin{equation*}
\Delta\left(r_n\left(\Delta \left(x_n+c x_{n-k}\right)\right)^{\gamma}\right)+q_nx_{n+1}^{\alpha}=e_n.
\end{equation*}
are established. The results are illustrated by examples.
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References- R. Jankowski, E. Schmeidel, Almost oscillation criteria for second order neutral difference equation with quasidifferences , Int. J. Difference Equ. 9, 2014, 77-86.
- R. Jankowski, E. Schmeidel, Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type , Recent Advances in Delay Differential and Difference Equations, Springer Proceedings in Mathematics & Statistics, 2014, (to appear).
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