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Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\). - MaRDI portal

Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\). (Q1773528)

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scientific article; zbMATH DE number 2163666
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English
Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\).
scientific article; zbMATH DE number 2163666

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    Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\). (English)
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    29 April 2005
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    The paper deals with the following delay difference equation \(\Delta u(k+n) = -p(k)u(k),\) where the coefficient \(p\) is positive. Sufficient conditions for the existence of eventually positive solutions are obtained. Some open problems are discussed.
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    delay difference equations
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    positive solutions
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