The Existence of Symmetric Positive Solutions of Fourth-Order Elastic Beam Equations

被引：5
|
作者：
Tuz, Munevver [1 ]
机构：
[1] Firat Univ, Dept Math, TR-23100 Elazig, Turkey
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 01期
关键词：
four-point boundary value problem; fixed point theorem; symmetric positive solution; cone; BOUNDARY-VALUE-PROBLEMS; ORDINARY DIFFERENTIAL-EQUATION; MULTIPLICITY;
D O I：
10.3390/sym11010121
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this study, we consider the eigenvalue problems of fourth-order elastic beam equations. By using Avery and Peterson's fixed point theory, we prove the existence of symmetric positive solutions for four-point boundary value problem (BVP). After this, we show that there is at least one positive solution by applying the fixed point theorem of Guo-Krasnosel'skii.
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页数：14
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