Abstract
A fixed point theorem is used to study a singular second order three-point boundary value problem. The problem is more general. Combining the method of constructing Green functions with operators defined piecewise, the existence resultof positive solutions to a singular second order three-point boundary value problem is established. The nonlinearity can be allowed to change sign.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
MA Ru-yun. Positive solutions of a nonlinear three-point boundary value problems[J].Electron J Differential Equations, 1999,34:1–8.
Gupta C P. A sharper condition for the solvability of a three-point second order boundary value problem [J].J Math Anal Appl, 1997,205(2):586–597.
Krasosel’skill M A.Positive Solutions of Operator Equation[M]. Gorningen: Noordhoff, 1964.
Cabada A, Nieto J J. Fixed points and approximate solutions for nonlinear operator equations[J].J Comput Appl Math, 2000,113(1–2):17–25.
Author information
Authors and Affiliations
Additional information
Communicated by DING Xie-ping
Foundation item: the Educational Foundation of Jiangshu Province
Biography: QU Wen-bo (1965-), Associate Professor
Rights and permissions
About this article
Cite this article
Wen-bo, Q., Zhong-xin, Z. & Jun-de, W. Positive solutions to a singular second order three-point boundary value problem. Appl Math Mech 23, 854–866 (2002). https://doi.org/10.1007/BF02456982
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02456982