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Periodic solutions of a class of fourth-order superlinear differential equations - MaRDI portal

Periodic solutions of a class of fourth-order superlinear differential equations (Q1925376)

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scientific article; zbMATH DE number 6116407
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Periodic solutions of a class of fourth-order superlinear differential equations
scientific article; zbMATH DE number 6116407

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    Periodic solutions of a class of fourth-order superlinear differential equations (English)
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    18 December 2012
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    Summary: This paper deals with the periodic solutions of a class of fourth-order superlinear differential equations. By using the classical variational techniques and symmetric mountain pass lemma, the periodic solutions of a single equation in literature are extended to that of equations, and also, the cubic growth of nonlinear term is extended to a general form of superlinear growth.
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    periodic solutions
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    fourth-order superlinear differential equations
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    variational techniques
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    symmetric mountain pass lemma
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