The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations (Q437659)
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scientific article; zbMATH DE number 6058178
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations |
scientific article; zbMATH DE number 6058178 |
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The existence and uniqueness of periodic solutions for some nonlinear \(n\)th-order differential equations (English)
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18 July 2012
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Summary: The nonlinear \(n\)th-order differential equations are considered. By using inequality techniques and coincidence degree theory, some criteria are obtained to guarantee the existence and uniqueness of \(T\)-periodic solutions for the equations. The obtained results are also valid and new for the problem discussed in the previous literature. Moreover, two illustrative examples are provided to illustrate the effectiveness of our results.
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