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Boundedness of solutions of nonlinear systems of differential equations

Authors:

Lihong Huang

Institution:

1. Department of Applied Mathematics, Hu'nan University, 410082, Changsha, China

Abstract:

We first give an example to illustrate that the results in 12] concerning the boundedness of solutions of nonlinear oscillatory equations are not true. And then we obtain sufficient or necessary conditions for the boundedness of solutions of the nonlinear system of differential equations

$dx/dt = y^\alpha , dy/dt = - f(x)y^\beta h(y) - g(x)k(y)$

Keywords:	Generalized nonlinear oscillating system Necessary and sufficient condition Boundedness
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