Anti‐periodic solutions for a gradient system with resonance via a variational approach |
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| Authors: | Yu Tian Johnny Henderson |
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| Institution: | 1. School of Science, Beijing University of Posts and Telecommunications, , Beijing, 100876 P. 2. R. 3. China;4. Department of Mathematics, Baylor University, , Waco, Texas, 76798‐7328 USA;5. +1 (254)710 6562 |
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| Abstract: | In this paper, we investigate a second‐order resonance anti‐periodic boundary value problem ![urn:x-wiley:dummy:mana201200110:equation:mana201200110-math-0001]( "urn:x-wiley:dummy:mana201200110:equation:mana201200110-math-0001") where  is the m‐th eigenvalue of the corresponding eigenvalue problem. By using the dual least action principle, we obtain an existence result. In addition, we obtain the existence of 2T‐periodic solutions for  . |
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| Keywords: | Anti‐periodic solution gradient system resonance variational approach dual least action principle 34B15 34B24 58E30 |
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