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Descripción
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| A closed solution in product form for the self-adjoint second order difference equation, x(n+1) = bn()x(n)anx(n1), relates oscillation properties [1] of the solution with Chain Sequences [2]. The solution fx(n)g1n=n0 is non oscillatory if and only if the sequence f (n + 1) = an+1 bn()bn+1()g, n > n0, is a chain sequence. Here, the difference operator associated to the previous equation has as principal parameter, an example is the energy in difference Schrödinger operators. Applying the previous result in case of linear dependency, conditions are obtained for the rank of values of where the solution can generate continuous spectrum. The equations of Harper and Fibonacci illustrate the results with numerical examples. The achievement of similar conditions seems admissible in other cases of dependency. | |
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Internacional
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Si |
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Nombre congreso
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XII International Conference on Difference Equations and Applications |
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Tipo de participación
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960 |
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Lugar del congreso
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Lisboa, Portugal |
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Revisores
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Si |
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ISBN o ISSN
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XXXXXXXXXX |
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DOI
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Fecha inicio congreso
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23/07/2008 |
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Fecha fin congreso
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27/07/2007 |
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