Properties of traveling waves for integrodifference equations with nonmonotone growth functions (Q422312)
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scientific article; zbMATH DE number 6035605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of traveling waves for integrodifference equations with nonmonotone growth functions |
scientific article; zbMATH DE number 6035605 |
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Properties of traveling waves for integrodifference equations with nonmonotone growth functions (English)
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16 May 2012
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Travelling waves of a discrete-time integrodifference equation of the form \[ u_{n+1}(x)=\int_{\mathbb R}g(u_{n}(y))k(x-y)dy, \] are studied. Sufficient conditions which assure that the travelling wave converges to the positive equilibrium or oscillates about it at \(+\infty\) are obtained.
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travelling waves
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oscillation
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discrete-time integrodifference equation
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positive equilibrium
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