2000•Journal of Huaibei Industry Teachers CollegeRequires access
Quadratic Integrability and Boundedness of Solutions of a Class of Nonlinear Nth Order Differential Equations
Jifeng Guo
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Abstract
In this paper, the following nonlinear nth order differential equation is considered: (r(t)y(n-1))'+n-2∑i=0ai(t)y(i)=f(t,y) with the aid of an integral inequality, obtained some sufficient conditions which guarantee all solutions of the equation are bounded and belong to L2[0, ∞).