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【期刊论文】Periodic and Subharmonic Solutions of Second-order Hamiltonian Systems*
唐春雷, Zhu-Lian Tao, Chun-Lei Tang
,-0001,():
-1年11月30日
Some solvability conditions of periodic solutions and subharmonic solutions are obtained for a class of new superquadratic non-autonomous second order Hamiltonian Systems by the minimax methods in critical point theory.
generalized mountain pass theorem,, condition (, C), ,, superquadratic,, periodic solution,, subharmonic solution.,
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【期刊论文】Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems*
唐春雷, Shang-Jie Chen, Chun-Lei Tang
,-0001,():
-1年11月30日
Periodic solutions and innitely distinct subharmonic solutions are obtained for a class of nonconvex and nonautonomous superquadratic Hamiltonian systems z=JHz(z; t) by using the minimax methods in critical point theory.
periodic solutions, subharmonic solutions, superquadratic Hamiltonian systems, the minimax method, the truncating argument, critical point
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41浏览
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【期刊论文】Periodic and Subharmonic Solutions for a Class of Superquadratic Hamiltonian Systems*
唐春雷, Zeng-Qi Ou, Chun-Lei Tang
,-0001,():
-1年11月30日
Some existence theorems are obtained for periodic and subharmonic solutions of a class of su-perquadratic Hamiltonian systems by the minimax methods in critical point theory, specially, a local link theorem due to Li and Willem, and the Generalized Mountain Pass Theorem respectively.
periodic solutions, subharmonic solutions, Hamiltonian systems, the local link, the Generalized Mountain Pass Theorem,, the (, PS), *, condition, the (, C), condition
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【期刊论文】Existence of Homoclinic Solution for the Second Order Hamiltonian Systems*
唐春雷, Zeng-Qi Ou, Chun-Lei Tang
,-0001,():
-1年11月30日
An existence theorem of homoclinic solution is obtained for a class of the nonautonomous second order Hamiltonian systems
homoclinic solution, second order Hamiltonian systems, the Generalized Mountain Pass Theorem, superquadratic potentials
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【期刊论文】Existence and Multiplicity of Periodic Solutions
唐春雷, Chun-Lei Tang
,-0001,():
-1年11月30日
The existence and multiplicity of periodic solutions are obtained for the nonau-tonomous second order systems by using the classical theorems of variational calculus and Brezis-Nirenberg's three-critical-point theorem.
periodic solution,, second order system,, subadditive,, coercive,, Sobolev', s inequality,, critical point.,
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