Boundedness of Solutions and Existence of Periodic Solutions of Nonlinear Differential Equations
Received:July 15, 1999  
Key Words: Nonlinear   boundedness   periodic solution.  
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Author NameAffiliation
YAN Yue-xin Dept. of Math.
College of Science
Yangzhou University
Jiangsu
China 
ZHOU Zheng-xin Dept. of Math.
College of Science
Yangzhou University
Jiangsu
China 
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Abstract:
      In this paper, we used a new method to discuss the boundedness and existence of periodic solutions of nonlinear differential system (dx)/(dt)=1/(a(x))[c(y)-b(x)];(dy)/(dt)=-a(x)[h(x)-e(t)] and applied these conclusions to study the boundedness of solutions and the existence of periodic solutions of the forcing vibrating differential equations x+(f(x)+g(x)x)x+h(x)=e(t).
Citation:
DOI:10.3770/j.issn:1000-341X.2002.03.021
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