Nontrivial periodic solutions to some semilinear sixth-order difference equations (Q1723927)
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scientific article; zbMATH DE number 7022221
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial periodic solutions to some semilinear sixth-order difference equations |
scientific article; zbMATH DE number 7022221 |
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Nontrivial periodic solutions to some semilinear sixth-order difference equations (English)
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14 February 2019
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Summary: We establish some new criteria to guarantee nonexistence, existence, and multiplicity of nontrivial periodic solutions of some semilinear sixth-order difference equations by using minmax method, \(Z_2\) index theory, and variational technique. Our results only make some assumptions on the period \(T\), which are very easy to verify and rather relaxed.
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periodic solutions
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existence of solutions
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