Asymptotic Diagonalization and Normalization of Linear q -Difference Equations |
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Authors: | Ilham Eli |
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Institution: | Department of Mathematics , Kashgar Teacher's College , Xinjiang , People's Republic of China |
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Abstract: | Asymptotic diagonalizations of linear differential equations are studied by several authors. The problems for linear difference equations are investigated recently by Bodine and Sacker. In their work, the full spectrum condition plays essential role. Here we consider a related problem for q-difference equations, |q| < 1, which do not satisfy the full spectrum condition. Our tool is the Arnold normal form for matrix. |
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Keywords: | q -Difference Equations Jordan Normal Form Arnold Normal Form Sylvester Family |
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