Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.
Yiming Long (1990)
Mathematische Zeitschrift
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Yiming Long (1990)
Mathematische Zeitschrift
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Renate Schaaf (1985)
Journal für die reine und angewandte Mathematik
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H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Klaus Thews (1980/81)
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M. Timoumi, A. Trad (1995)
Collectanea Mathematica
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Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Herbert Amann, Eduard Zehnder (1980)
Manuscripta mathematica
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Xianling Fan (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Xianhua Tang, Xingyong Zhang (2010)
Annales UMCS, Mathematica
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In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Xingyong Zhang, Xianhua Tang (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
A. Katok, D. Bernstein (1987)
Inventiones mathematicae
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Deng, Xiaoqing (2007)
Advances in Difference Equations [electronic only]
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H. Hofer, I. Ekeland (1985)
Inventiones mathematicae
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