Positive solutions of singular beam equations with the bending term

Boundary value problems

Xuemei Zhang²  Meiqiang Feng⁴ 

[1] Technology University, Beijing, People’Department of Mathematics and Physics, North China Electric Power University, Beijing, People’School of Applied Science, Beijing Information Science &s Republic of China

关键词: positive solution;    singularity;    beam equation with the bending term;    fixed point theorem;   

DOI  :  10.1186/s13661-015-0348-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using a new technique for dealing with the bending term of beam equations, we consider the existence and multiplicity of positive solutions for a beam equation. Besides achieving new results, upper and lower bounds for these positive solutions will also be provided. The results are shown by using a novel technique and fixed point theories.

【 授权许可】

CC BY