Stability analysis of difference systems via cone valued Liapunov’s function method
Soliman, A. A.
J. Math. Kyoto Univ., Tome 46 (2006) no. 4, p. 65-74 / Harvested from Project Euclid
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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.
Publié le : 2006-05-15
Classification:  39A11,  34D20,  34K20 
@article{1250281797,
     author = {Soliman, A. A.},
     title = {Stability analysis of difference systems via cone valued Liapunov's function method},
     journal = {J. Math. Kyoto Univ.},
     volume = {46},
     number = {4},
     year = {2006},
     pages = { 65-74},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281797}
}

Soliman, A. A. Stability analysis of difference systems via cone valued Liapunov’s function method. J. Math. Kyoto Univ., Tome 46 (2006) no. 4, pp.  65-74. http://gdmltest.u-ga.fr/item/1250281797/