Multiplicity and uniqueness results for the singular nonlocal boundary value problem involving nonlinear integral conditions

Boundary value problems

Ravi P Agarwal¹  Baoqiang Yan²  Donal ORegan³ 

[1]Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia

[2]Department of Mathematics, Shandong Normal University, Jinan, China

[3]School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

关键词: Boundary Value Problem;    Real Banach Space;    Unique Fixed Point;    Nonlocal Boundary;    Singular Boundary;   

DOI  :  10.1186/s13661-014-0148-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, using fixed point index and the mixed monotone technique, we present some multiplicity and uniqueness results for the singular nonlocal boundary value problems involving nonlinear integral conditions. Our nonlinearity may be singular in its dependent variable and it is allowed to change sign.

【 授权许可】

CC BY