Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices

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作者
Satoru Murakami
Yutaka Nagabuchi
机构
[1] Okayama University of Science,Department of Applied Mathematics
[2] Okayama University of Science,Department of Applied Science
关键词
Fundamental Solution; Spectral Radius; Vector Lattice; Robust Stability; Banach Lattice;
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摘要
For positive linear Volterra difference equations in Banach lattices, the uniform asymptotic stability of the zero solution is studied in connection with the summability of the fundamental solution and the invertibility of the characteristic operator associated with the equations. Moreover, the robust stability is discussed and some stability radii are given explicitly.
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