Abstract
Total stability for systems of ordinary differential equations, functional differential equations, and difference equations was introuced. In this paper, we will extend this notion to the so-called total $\phi _{0}$-stability for systems of difference equations. given some new criteria and results. Our technique depends on cone-valued Liapunov’s function method.
Citation
A. A. Soliman. "Stability analysis of difference systems via cone valued Liapunov’s function method." J. Math. Kyoto Univ. 46 (1) 65 - 74, 2006. https://doi.org/10.1215/kjm/1250281797
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