Positive solutions for systems of m‐point nonlinear boundary value problems
Abstract
Positive solutions (u(t), v(t)) are sought for the nonlocal (m‐point) nonlinear system of boundary value problems, u” + λa(t)f(v) = 0, v” + λb(t)g(u) = 0, for 0 < t < 1, and satisfying, u(0) = 0, u(1) = 
. An application of a Guo‐Krasnosel'skii fixed point theorem yields sufficient values of λ for which such positive solutions exist.
First Published Online: 14 Oct 2010
Keywords:
nonlocal (m-point) boundary value problem, system of differential equations, eigenvalue problem, positive solutionsHow to Cite
Henderson, J., Ntouyas, S. K., & Purnaras, I. K. (2008). Positive solutions for systems of m‐point nonlinear boundary value problems. Mathematical Modelling and Analysis, 13(3), 357-370. https://doi.org/10.3846/1392-6292.2008.13.357-370
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Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2008-09-30
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Copyright
Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Henderson, J., Ntouyas, S. K., & Purnaras, I. K. (2008). Positive solutions for systems of m‐point nonlinear boundary value problems. Mathematical Modelling and Analysis, 13(3), 357-370. https://doi.org/10.3846/1392-6292.2008.13.357-370