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http://dx.doi.org/10.14403/jcms.2013.26.1.197

STABILITY PROPERTIES IN NONLINEAR DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY  

Choi, Sung Kyu (Department of Mathematics Chungnam National University)
Kim, Yunhee (Department of Mathematics Chungnam National University)
Koo, Namjip (Department of Mathematics Chungnam National University)
Yun, Chanmi (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.1, 2013 , pp. 197-211 More about this Journal
Abstract
We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.
Keywords
discrete Volterra equation with unbounded delay; BS-stability; $(K,{\rho})$-stability; $((K,{\rho})\mathbb{R}^d)$-stability; total stability; almost periodic solution;
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