Disconjugacy, disfocality, and oscillation of second order difference equations (Q1319944)
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scientific article; zbMATH DE number 553869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Disconjugacy, disfocality, and oscillation of second order difference equations |
scientific article; zbMATH DE number 553869 |
Statements
Disconjugacy, disfocality, and oscillation of second order difference equations (English)
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19 April 1994
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There are given necessary and sufficient conditions for the disconjugacy, disfocality and oscillation, respectively, of the equation \(\Delta (r_ n \Delta x_ n)+p_ nx_{n+1}=0\) for \(n=0,1,2,\dots\), real \(p_ n\) and \(r_ n>0\). The conditions are given explicitly in terms of the coefficients in the equation.
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linear difference equation
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disconjugacy
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disfocality
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oscillation
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