Abstract
In this article we consider the following class of three point boundary value problem
and use monotone iterative technique to derive some sufficient conditions of existence. Examples are included to illustrate the effectiveness of the proposed results. We consider both well ordered and reverse ordered upper and lower solutions.
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We are thankful to the reviewers for their valuable suggestion which really helped in improving the quality of the paper in every sense.
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Dedicated to Professor R.K. Pandey, IIT Kharagpur, India.
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Singh, M., Verma, A.K. On a monotone iterative method for a class of three point nonlinear nonsingular BVPs with upper and lower solutions in reverse order. J. Appl. Math. Comput. 43, 99–114 (2013). https://doi.org/10.1007/s12190-013-0654-4
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DOI: https://doi.org/10.1007/s12190-013-0654-4
Keywords
- Upper and lower solutions
- Reverse order
- Monotone iterative method
- Three point boundary value problems
- Green’s function