Multiple periodic solutions of the second order Hamiltonian systems with superlinear terms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Li, Xiaoli^1,2  Su, Jiabao¹  Tian, Rushun^1,3 

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

关键词: Hamiltonian systems;    Homological linking;    Morse theory;    Periodic solutions;    Bifurcation method;   

DOI  :  10.1016/j.jmaa.2011.06.061

来源: Elsevier

【 摘 要 】

We study the existence of 2 pi-periodic solutions of the second order Hamiltonian systems -sic- A(t)sic = lambda x + nu'sic(t, sic) with superlinear terms and with saddle structure near the origin. Some multiplicity results are obtained by using bifurcation method, homological linking and Morse theory. (c) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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