Boundedness of solutions for sublinear reversible systems  

作　　者：黎雄 

出　　处：《Science China Mathematics》2001年第2期137-144,共8页中国科学：数学（英文版）

基　　金：The author is very grateful to Professors Ding Tongren and Liu Bin for their valuable suggestions for this paper.

摘　　要：We are concerned with the boundedness of all the solutions for second order differential equation $$\ddot x + f\left( x \right)\dot x + g\left( x \right) = e\left( t \right),$$ , wheref(x) andg(x) are odd, e( t) is odd and 1-periodic, andg(x) satisfies $$Sign \left( x \right) \cdot g\left( x \right) \to + \infty ,\frac{{g\left( x \right)}}{x} \to 0,as\left| x \right| \to + \infty .$$We are concerned with the boundedness of all the solutions forsecond order differential equationwhere f(x) and g(x) are odd, e(t) is odd and 1-periodic, and g(x)

关 键 词：boundedness of solutions invariant tori reversible systems 

分 类 号：O175[理学—数学]