Existence of periodic solutions for a class of asymptotically \(p\)-linear discrete systems involving \(p\)-Laplacian (Q443141)
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scientific article; zbMATH DE number 6063523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of periodic solutions for a class of asymptotically \(p\)-linear discrete systems involving \(p\)-Laplacian |
scientific article; zbMATH DE number 6063523 |
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Existence of periodic solutions for a class of asymptotically \(p\)-linear discrete systems involving \(p\)-Laplacian (English)
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6 August 2012
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Summary: By applying the mountain pass theorem in critical point theory, two existence results are obtained for the following asymptotically \(p\)-linear \(p\)-Laplacian discrete system: \(\Delta(|\Delta u(t - 1)|^{p-2} \Delta u(t - 1)) + \nabla[-K(t, u(t)) + W(t, u(t))] = 0\). The results obtained generalize some known works.
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existence results
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asymptotically \(p\)-linear \(p\)-Laplacian discrete system
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