非对称振动中解的有界性

王奕倩

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 709-714.

数学学报 ›› 2003, Vol. 46 ›› Issue (4) : 709-714. DOI: 10.12386/A2003sxxb0094
论文

非对称振动中解的有界性

    王奕倩
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Boundedness of Solutions in Asymmetric Oscillations via the Twist Theorem

    Yi Qian WANG
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摘要

在本文中,我们考虑方程x″+ax~+-bx~-=f(t)的所有解的有界性,其中f(t)是一个光滑2π-周期函数,a和b是正的常数(a≠b).

Abstract

In this paper, we consider the boundedness of all solutions for the equation x"+ax+ -bx- = f(t), where f(t) is a smooth 27π-periodic function, a and 6 are positive constants (a ≠ 6).

关键词

辛变换 / 非对称 / 扭转定理 / 有界性

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王奕倩. 非对称振动中解的有界性. 数学学报, 2003, 46(4): 709-714 https://doi.org/10.12386/A2003sxxb0094
Yi Qian WANG. Boundedness of Solutions in Asymmetric Oscillations via the Twist Theorem. Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 709-714 https://doi.org/10.12386/A2003sxxb0094

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