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Boundedness of solutions of nonlinear systems of differential equations
Authors:Lihong Huang
Affiliation: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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