Existence of monotone positive solution of neutral partial difference equation (Q1576944)
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scientific article; zbMATH DE number 1497251
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of monotone positive solution of neutral partial difference equation |
scientific article; zbMATH DE number 1497251 |
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Existence of monotone positive solution of neutral partial difference equation (English)
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30 August 2001
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The paper deals with the neutral partial difference equation \[ \sum^u_{i=1} [T(\Delta_1, \Delta_2)(\theta(\lambda) y_{m,n}+ cy_{m- k_i, n-\ell_i})+ p_i(m,n) y_{m-\sigma_i, n-\tau_i}]= 0, \] where \(T(\Delta_1,\Delta_2)= \Delta_1+ \Delta_2+ I\), \(\Delta_1 y_{m,n}= y_{m+1,n}- y_{m,n}\), and \(\Delta_2 y_{m,n}= y_{m,n+1}- y_{m,n}\), \(Iy_{m,n}= y_{m,n}\). The authors prove existence of monotone eventually positive solutions.
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existence of monotone positive solutions
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neutral partial difference equation
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