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http://dx.doi.org/10.14317/jami.2011.29.1_2.417

EXISTENCE AND ITERATION OF MONOTONE POSITIVE SOLUTIONS FOR THIRD-ORDER THREE-POINT BVPS  

Sun, Jian-Ping (Department of Applied Mathematics, Lanzhou University of Technology)
Cao, Ke (Normal College, Gansu Lianhe University)
Zhao, Ya-Hong (Department of Applied Mathematics, Lanzhou University of Technology)
Wang, Xian-Qiang (Department of Applied Mathematics, Lanzhou University of Technology)
Publication Information
Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 417-426 More about this Journal
Abstract
This paper is concerned with the existence of monotone positive solutions for a class of nonlinear third-order three-point boundary value problem. By applying iterative techniques, we not only obtain the existence of monotone positive solutions, but also establish iterative schemes for approximating the solutions. An example is also included to illustrate the importance of the results obtained.
Keywords
third-order three-point boundary value problem; monotone positive solution; existence; iterative method;
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