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Global asymptotic properties of third-order difference equations - MaRDI portal

Global asymptotic properties of third-order difference equations (Q1767929)

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scientific article; zbMATH DE number 2142456
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Global asymptotic properties of third-order difference equations
scientific article; zbMATH DE number 2142456

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    Global asymptotic properties of third-order difference equations (English)
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    8 March 2005
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    The nonoscillatory solutions of \(\Delta(p_n\Delta(r_n\Delta x_n))+ q_n f(x_{n+p})= 0\), \(p\in \{0,1,2\}\), are classified under suitable conditions. In the case \(p= 1\) their generalized zeros and asymptotic properties are described by means of an energy function.
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    third order nonlinear difference equation
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    Nonoscillatory solution
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    Generalized zeros
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    Energy function
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    asymptotic
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