Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions |
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| Institution: | 1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China;2. College of Science, Zhejiang Agriculture and Forestry University, Zhejiang, Lin’an 311300, China;3. School of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;1. Mathematics Teaching and Distance Learning Centre, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland;2. Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland;1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain;2. Department of Mathematics and Informatics, University of Oradea, University Street 1, 410087 Oradea, Romania;3. Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal;1. Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112, PR China;2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, PR China;1. Karlsruhe Institute of Technology (KIT), Institute for Neutron Physics and Reactor Technology (INR), Germany;2. Karlsruhe Institute of Technology (KIT), Institute for Applied Materials (IAM-WPT), Germany;3. Indian Institute of Technology Madras (IITM), Department of Mechanical Engineering, India |
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| Abstract: | The existence of infinitely many subharmonic solutions is obtained for a class of nonautonomous second order Hamiltonian systems with a new superquadratic condition. Furthermore, we can get the existence of homoclinic solutions as the limit of subharmonics under a stronger superquadratic condition which is still weaker than the growth conditions in the references. |
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