Multiplicity of homoclinic solutions for a class of nonperiodic fourth-order differential equations with general perturbation (Q1722123)
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scientific article; zbMATH DE number 7021760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of homoclinic solutions for a class of nonperiodic fourth-order differential equations with general perturbation |
scientific article; zbMATH DE number 7021760 |
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Multiplicity of homoclinic solutions for a class of nonperiodic fourth-order differential equations with general perturbation (English)
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14 February 2019
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Summary: In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generalized and significantly improved.
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