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中文摘要：
本文讨论半直线上的一类具有非线性边值条件的二阶微分方程．利用变分法和B．Ricceri的三临界点定理得到该方程的多个正解．同时建立该方程由边值条件产生的两个解存在的充分条件．最后给出一个例子来阐释本文的结果．
英文摘要：
In this paper, we investigate a second-order differential equation with nonlinear boundary conditions on the half-line. Multiplicity of solutions for the second-order differential equations on the half-line are considered by variational methods and a three-critical-points theorem by B. Ricceri. We also establish sufficient conditions under which such a system possesses two solutions generated from a boundary condition. To illustrate the main results,an example is given.
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