Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics (Q611210)
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scientific article; zbMATH DE number 5826272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics |
scientific article; zbMATH DE number 5826272 |
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Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics (English)
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14 December 2010
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Consider the second-order non-autonomous difference equation of the form \[ x(n+1)= x(n)+((n/(n+1)))^2(x(n)-x(n-1)+h^2f(x(n))),\quad n\in \mathbb N. \] Conditions on \(f\) under which for each sufficiently small \(h>0\) there exists a homoclinic solution to the above equation are derived.
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non-autonomous second-order difference equation
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homoclinic solutions
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strictly increasing solutions
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