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On superquadratic periodic systems with indefinite linear part
Authors:Sophia Th Kyritsi
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
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.
Keywords:34C25  58E05
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