On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Liu, Qihuai^1,2  Wang, Chao³  Wang, Zhiguo⁴ 

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541003, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Peoples R China

[4] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

关键词: Boundedness of solutions;    Relativistic oscillators;    Quasiperiodic solutions;    Moser's small twist theorem;   

DOI  :  10.1016/j.jde.2014.08.017

来源: Elsevier

【 摘 要 】

In this paper, we are concerned with the Littlewood's boundedness problem and the existence of quasiperiodic solutions for the nonlinear differential equation of the motions of relativistic oscillators with anharmonic potentials d/dt (x'/root 1 - vertical bar x'vertical bar(2)) + vertical bar x vertical bar(alpha-1) x = p(t), where the 1-periodic function p(t) is a smooth function and alpha is a positive constant. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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