On the oscillatory behavior of Volterra integral equations on time-scales (Q2866431)
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scientific article; zbMATH DE number 6238263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the oscillatory behavior of Volterra integral equations on time-scales |
scientific article; zbMATH DE number 6238263 |
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13 December 2013
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nonlinear Volterra equations
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oscillation
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time scale
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On the oscillatory behavior of Volterra integral equations on time-scales (English)
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The main result of this paper represents sufficient conditions for the existence of bounded and oscillatory solutions on a time scale of the nonlinear Volterra integral equation NEWLINE\[NEWLINEx(t)=e(t)-\int_0^t k(t,s) f(s, x(s))\, ds,\,0\leq s \leq t < \infty.NEWLINE\]
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