Existence and uniqueness of periodic solutions for a \(p\)-Laplacian Duffing equation with a deviating argument (Q1012070)
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scientific article; zbMATH DE number 5543760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of periodic solutions for a \(p\)-Laplacian Duffing equation with a deviating argument |
scientific article; zbMATH DE number 5543760 |
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Existence and uniqueness of periodic solutions for a \(p\)-Laplacian Duffing equation with a deviating argument (English)
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14 April 2009
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The authors study a class of \(p\)-Laplacian Duffing type differential equations of the form \[ \left(\varphi_p(x'(t))\right)'=Cx'(t)+g(t,x(t),x(t-\tau(t)))+e(t). \] Under some technical conditions, they obtain the existence and/or uniqueness of periodic solutions. The main tools used are some continuation theorem due to Mawhin and apriori estimates.
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periodic solutions
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one-dimensional \(p\)-Laplacian
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modified argument
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coincidence degree
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continuation theorem
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