Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems

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• 作者：Hairong Lian (1)
  Dongli Wang (1)
  Zhanbing Bai (2)
  Ravi P Agarwal (3)
  
  1. School of Science ; China University of Geosciences ; Beijing ; 100083 ; P.R. China
  2. College of Mathematics and System Science ; Shandong University of Science and Technology ; Qingdao ; 266590 ; P.R. China
  3. Department of Mathematics ; Texas A&M University-Kingsville ; Kingsville ; TX ; 78363 ; USA
  
• 关键词：p ; Laplacian ; periodic solution ; subharmonics ; dual least action principle
• 刊名：Boundary Value Problems
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：1,255 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

In this paper, the periodic and subharmonic solutions are investigated for a class of second-order non-autonomous ordinary differential equations with a p-Laplacian. With the perturbation technique and the dual least action principle, some existence results are given of solutions to the convex p-Laplacian systems.