On superquadratic periodic systems with indefinite linear part |
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Authors: | Sophia Th Kyritsi |
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Institution: | a Hellenic Naval Academy, Department of Mathematics, Hellenic Naval Academy, Piraeus 18539, Greece b National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece |
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Abstract: | We consider a second order periodic system with an indefinite linear part and a potential function which is superquadratic but does not satisfy the AR-condition. Using Morse critical groups, we show that the system has at least one nontrivial solution. |
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Keywords: | 34C25 58E05 |
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