Existence of Solutions of Higher Order Sturm-Liouville Boundary Value Problems

机译：高阶Sturm-liouville边值问题的存在性

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We consider a higher order Sturm-Liouville boundary value problem (BVP) where the nonlinear term involves derivatives - such cases are seldom investigated in the literature due to the complexity introduced by the derivatives. A new technique is used to obtain existence criteria for at least one positive solution of the BVP. We demonstrate the usefulness of the results obtained by an example with known positive solutions.

机译：我们考虑一个高阶Sturm-liouville边值问题（BVP），其中非线性术语涉及衍生物 - 由于衍生物引入的复杂性，在文献中很少研究。一种新技术用于获得BVP的至少一个正解的存在标准。我们证明了通过具有已知阳性溶液的实例获得的结果的有用性。

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《International Conference of Numerical Analysis and Applied Mathematics》|2017年|various paging|共4页
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Patricia J. Y. Wong;
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中图分类计量学;
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Existence of Solutions of Higher Order Sturm-Liouville Boundary Value Problems

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