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

被引：0
|
作者：
Wong, Patricia J. Y. [1 ]
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, 50 Nanyang Ave, Singapore 639798, Singapore
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
关键词：
EIGENVALUES;
D O I：
10.1063/1.4992322
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：4
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