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Multiple periodic solutions for second order Josephson-type differential systems - MaRDI portal

Multiple periodic solutions for second order Josephson-type differential systems (Q2362524)

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Multiple periodic solutions for second order Josephson-type differential systems
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    Multiple periodic solutions for second order Josephson-type differential systems (English)
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    10 July 2017
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    Using the generalized saddle point theorem of Liu, the author proves the existence of multiple \(T\)-periodic solutions for the second-order Josephson-type differential system \[ u'' + Au - \nabla F(t,u) = h(t) \] under more general conditions upon \(A\) and \(F\) than in previous contributions of Mawhin-Willem, C.L. Tang, J.X. Feng and Z.Q. Han, and himself.
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    periodic solution
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    critical point
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    second order Josephson-type differential systems
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    periodicity
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    minimax methods
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    generalized saddle point theorem
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