Interval oscillation criteria of second-order nonlinear dynamic equations on time scales (Q714306)
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scientific article; zbMATH DE number 6096259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interval oscillation criteria of second-order nonlinear dynamic equations on time scales |
scientific article; zbMATH DE number 6096259 |
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Interval oscillation criteria of second-order nonlinear dynamic equations on time scales (English)
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19 October 2012
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Summary: Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form \((p(t)\psi(x(t))x^{\Delta}(t))^{\Delta}+f(t,x(\sigma(t)))=0\). The obtained interval oscillation criteria can be applied to equations with a forcing term. An example is included to show the significance of the results.
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function classes
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generalized Riccati technique
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interval oscillation criteria
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second-order nonlinear dynamic equations
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time scales
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