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Existence solutions for second order Hamiltonian systems
Institution:1. School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, PR China;2. Department of Mathematics, University of California, Irvine, CA 92697-3875, USA;1. Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, Spain;2. Department of Mathematics, University of Ruse, Ruse, Bulgaria;1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, PR China;2. School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, PR China;1. Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM 87131, United States;2. Departamento de Matemática, Universidade Federal de Sergipe, São Cristóvão, SE 49100-000, Brazil;1. Department of Mathematics and Physics, Chongqing University of Science and Techonology, Chongqing 401331, People’s Republic of China;2. Department of Tourism and Mathematics, Sichuan Tourism University, Chengdu 610100, Sichuan, People’s Republic of China;1. K.K.Chen Inst. for Advanced Studies, Hangzhou Normal University, China;2. Escuela de Matematicas, Universidad Industrial de Santander, Colombia;3. Laboratoire Ondes and Milieux Complexes UMR 6294, CNRS-Universit du Havre, France;4. Inst. of Applied Math., University of Wuerzburg, Germany
Abstract:We study the existence of periodic solutions for a second order non-autonomous dynamical system containing variable kinetic energy terms. Subquadratic problems and superquadratic problems are both considered.
Keywords:Critical points  Linking theorem  Fountain theorem  Dynamical systems  Periodic solutions
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