International Journal of Applied Mathematics and Machine LearningAuthor's: Zuolun Zhao and Xinfeng Wang
Pages: [147] - [157]
Received Date: April 1, 2015
Submitted by: Jianqiang Gao.
DOI: http://dx.doi.org/10.18642/ijamml_7100121480
By the generalization of Darbo’s fixed point theorem, the existence and uniqueness theorem about the solutions of nonlinear mixed Volterra-Fredholm integral equation in Banach spaces has been established. Moreover, an iterative sequence converging to our unique solution has been constructed and an error estimate formula is given. Finally, applying those to three-point boundary value problems of second order integro-differential equations, some new conclusion about its solutions has been obtained.
mixed-type integral equation, three-point boundary value problem, Banach space, fixed point.
