Unbounded solutions of quasi-linear difference equations (Q1827170)
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scientific article; zbMATH DE number 2082219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unbounded solutions of quasi-linear difference equations |
scientific article; zbMATH DE number 2082219 |
Statements
Unbounded solutions of quasi-linear difference equations (English)
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6 August 2004
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The limit behaviour of positive increasing solutions of the difference equation \[ \Delta(a_n\phi_p(\Delta x_n))= b_nf(x_{n+1}) \] with \(\phi_p(u)=| u|^{p-2} u\), \(p> 1\), positive \(a_n\), \(b_n\) and \(uf(u)> 0\) for \(u\neq 0\) is established. Examples are given which show the role of the hypotheses.
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positive solutions
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asymptotic behaviour
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