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Multiple positive solutions for discrete nonlocal boundary value problems |
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| Authors: | Wing-Sum Cheung Jingli Ren Patricia J.Y. Wong Dandan Zhao |
| Affiliation: | aDepartment of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong;bDepartment of Mathematics, Zhengzhou University, Zhengzhou, Henan 450052, PR China;cSchool of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore |
| Abstract: | In this paper, we investigate a second-order nonlinear difference equation with sign-changing nonlinearity subject to two different sets of nonlocal boundary conditions. The explicit expressions of the associated Green's functions are presented. By using a recently developed fixed point theorem, we establish sufficient conditions for the existence of multiple positive solutions of the boundary value problem. |
| Keywords: | Nonlocal boundary value problem Fixed point theorem Green's function Positive solution |
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