Abstract
For one class of linear difference equations of arbitrary order we obtain some results about the asymptotic behavior of its solutions, applying a method used in the spectral analysis of discrete Sturm-Liouville operators. We apply this asymptotic method to show, that the analog of the Bellinger-Wall theorem of invariance in l 2 is not valid in l P for p > 2.
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Osipov, A.S. (2004). On Some Asymptotic Properties of Solutions for a Particular Class of Finite Difference Equations. In: Janas, J., Kurasov, P., Naboko, S. (eds) Spectral Methods for Operators of Mathematical Physics. Operator Theory: Advances and Applications, vol 154. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7947-7_10
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DOI: https://doi.org/10.1007/978-3-0348-7947-7_10
Publisher Name: Birkhäuser, Basel
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