By making use of monotone iterative technique, the iterative scheme and existence theorem of positive solution are established for a nonlinear second-order boundary value system.
利用单调迭代方法对一个非线性二阶边值系统建立了正解的迭代格式和存在性定理。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
建立了超线性二阶三个边值问题的一个正解存在定理。这里,非线性项是下有界的并且不需要是非负的。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
利用一个著名的不动点指标定理,获得了该方程周期正解的存在性、多重性和不存在性。
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