Existence of nonoscillatory solutions of impulsive delay difference equations (Q2735414)
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scientific article; zbMATH DE number 1640417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of nonoscillatory solutions of impulsive delay difference equations |
scientific article; zbMATH DE number 1640417 |
Statements
5 August 2002
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impulsive delay difference equation
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nonoscillatory solution
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Existence of nonoscillatory solutions of impulsive delay difference equations (English)
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The author considers the impulsive delay difference equation NEWLINE\[NEWLINE\begin{cases} \Delta x(n)+\sum^m_{i=1} p_i(n)x(n-l_i)=0, \quad n\geq n_0,\;n\neq n_k\\ x(n_k+1)-x(n_k)= I_k\bigl(x(n_k) \bigr),\quad k=1,2,\dots. \end{cases} NEWLINE\]NEWLINE A sufficient condition is obtained for the existence of nonoscillatory solution of (1).
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