Existence and nonexistence of positive solutions for nonlinear higher order BVP with fractional integral boundary conditions in Banach spaces

Advances in Difference Equations

Fulya Yoruk Deren¹ 

[1] Department of Mathematics, Ege University, Izmir, Turkey

关键词: fixed point theorem;    measure of noncompactness;    positive solutions;    34B10;    39A10;    34B18;    45G10;   

DOI  :  10.1186/s13662-015-0419-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher order boundary value problem with four point fractional integral boundary conditions in Banach spaces. In addition, an example is worked out to illustrate the main results.

【 授权许可】

CC BY