By applying the Leggett-Williams fixed-point theorem, some sufficient conditions guaranteeing the existence of at least two positive solutions are estab-lished under weaker conditions. As an application, an example is given to demonstrate our main results.
在较弱的条件下,利用Leggett-Williams不动点定理,给出了其至少有两个正解存在的充分性条件,并给出了一个例子作为主要结果的应用。
参考来源 - 半正mMoreover, applying the method of singular integral equation and the Schauder fixed-point theorem, we prove the existence of the solution for a nonlinear boundary value problem and get the integral representation of its solution.
的解)的一些性质,并运用奇异积分方程的方法和Schauder不动点原理证明此广义全纯函数的一个非线性边值问题解的存在性,并得到解的积分表示式。
参考来源 - 高阶复方程和高维区域上偏微分方程的某些边值问题·2,447,543篇论文数据，部分数据来源于NoteExpress
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We also obtain a new intersection theorem by the fixed-point theorem in this chapter.
同时，应用这个不动点定理，我们得到了一个新的相交定理。
It is true, and the proof comes as an application of a fixed point theorem which I discussed a year ago.
这是真的，证据来自不动点原理的一种运用，一年前我曾探讨过它。
Moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.
另外，我们还得一个一致局部扩张映射不动点定理与一个准扩张映射不动点定理。
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