Non-oscillation theorems for a class of second order quasilinear difference equation (Q2780930)
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scientific article; zbMATH DE number 1720131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-oscillation theorems for a class of second order quasilinear difference equation |
scientific article; zbMATH DE number 1720131 |
Statements
21 April 2002
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nonoscillation
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fixed-point theorem
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second-order quasilinear difference equation
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Non-oscillation theorems for a class of second order quasilinear difference equation (English)
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The authors show their interest in the nonoscillatory properties of second-order quasilinear difference equation of the form \(\Delta(p_n \varphi (\Delta x_n))+ f(n,x_n)=0\). New criteria for the existence of nonoscillatory solutions of such type as \(A^c_\infty\), \(A^0_c\) or \(A^0_\infty\) are established.
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