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Conjugacy of self-adjoint difference equations of even order - MaRDI portal

Conjugacy of self-adjoint difference equations of even order (Q554948)

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scientific article; zbMATH DE number 5930783
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Conjugacy of self-adjoint difference equations of even order
scientific article; zbMATH DE number 5930783

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    Conjugacy of self-adjoint difference equations of even order (English)
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    22 July 2011
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    Summary: We study oscillation properties of \(2n\)-order Sturm-Liouville difference equations. For these equations, we show a conjugacy criterion using the \(p\)-criticality (the existence of linear dependent recessive solutions at \(\infty\) and \(-\infty\)). We also show the equivalent condition of \(p\)-criticality for one term \(2n\)-order equations.
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    Sturm-Liouville difference equations
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    conjugacy criterion
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    \(p\)-criticality
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    recessive solutions
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