논문KCI 등재
PERIODIC SOLUTIONS FOR A KIND OF p-LAPLACIAN HAMILTONIAN SYSTEMS
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초록
In this paper, the existence of periodic solutions is obtained for a kind of p-Laplacian systems by the minimax methods in critical point theory. Moreover, the existence of infinite periodic solutions is also obtained.
Abstract
In this paper, the existence of periodic solutions is obtained for a kind of p-Laplacian systems by the minimax methods in critical point theory. Moreover, the existence of infinite periodic solutions is also obtained.
참고문헌 (7)
- R. A. Adams, "Sobolev Space" (1975), Academic Press
- J. Mawhin, "Point Theory and Hamiltonian Systems" (1989), Springer-Verlag
- P. H. Rabinowitz, "Minimax Methods in Critical Point Theory with Applications to Differential Equations, CBMS Regional Conference Series in Mathematics, 65. Published for the Conference Board of the Mathematical Sciences" (1986), the American Mathematical Society
- C. L. Tang, "Periodic solutions of non-autonomous second order systems with γ-quasisubadditive potential", J. Math. Anal. Appl., 189(3), pp.671~675 (1995)
- C. L. Tang, "Periodic solutions for second order systems with not uniformly coercive potential", J. Math. Anal. Appl., 259(2), pp.386~397 (2001)
- X. P. Wu, "Periodic solutions of a class of non-autonomous second-order systems", J. Math. Anal. Appl., 236(2), pp.227~235 (1999)
- Y. W. Ye, "Periodic solutions for some nonautonomous second order Hamiltonian systems", J. Math. Anal. Appl., 344(1), pp.462~471 (2008)
관련 논문AI추천
Periodic solutions for the nonlinear Hamiltonian systems정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Bounded weak solution for the Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2013 · 제21권 제1호EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS김용인한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM정택선, 최규흥대한수학회 · 대한수학회보2015 · 제52권 제4호Multiple solutions for the nonlinear Hamiltonian system정택선, 최규흥강원경기수학회 · 한국수학논문집2009 · 제17권 제4호MULTIPLE PERIODIC SOLUTIONS OF p-LAPLACIAN EQUATION WITH ONE-SIDE NAGUMO CONDITIONJian Jun Zhang, Jin Bo Ni, Tai Yong Chen, Wen Bin Liu대한수학회 · 대한수학회지2008 · 제45권 제6호
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