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Oscillatory and stability of a mixed type difference equation with variable coefficients
Yan, Yubin Pinelas, Sandra Ramdani, Nedjem Yenicerioglu, Ali Fuat
Yan, Yubin
Pinelas, Sandra
Ramdani, Nedjem
Yenicerioglu, Ali Fuat
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2021-08-12
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Abstract
The goal of this paper is to study the oscillatory and stability of the mixed type difference equation with variable coefficients \[
\Delta x(n)=\sum_{i=1}^{\ell}p_{i}(n)x(\tau_{i}(n))+\sum_{j=1}^{m}q_{j}(n)x(\sigma_{i}(n)),\quad n\ge n_{0}, \] where $\tau_{i}(n)$ is the delay term and $\sigma_{j}(n)$ is the advance term and they are positive real sequences for $i=1,\cdots,l$ and $j=1,\cdots,m$, respectively, and $p_{i}(n)$ and $q_{j}(n)$ are real functions. This paper generalise some known results and the examples illustrate the results.
Citation
Pinelas, S., Ramdani, N. E., Yeniçerioglu, A. F., & Yan, Y. (2021). Oscillatory and stability of a mixed type difference equation with variable coefficients. International Journal of Dynamical Systems and Differential Equations, 11(3-4), 391-421. https://doi.org/10.1504/IJDSDE.2021.117364
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Inderscience
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International Journal of Dynamical Systems and Differential Equations
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1752-3583
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1752-3591