Abstract
Nonlinear boundary value problems (NBVPs in abbreviation) with parameters are called parametrized nonlinear boundary value problems. This paper studies numerical verification of solutions of parametrized NBVPs defined on one-dimensional bounded intervals. Around turning points the original problem is extended so that the extended problem has an invertible Fréchet derivative. Then, the usual procedure of numerical verification of solutions can be applied to the extended problem. A numerical example is given.
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Partially supported by Saneyoshi Scholarship Foundation.
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Tsuchiya, T., Nakao, M.T. Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points. Japan J. Indust. Appl. Math. 14, 357–372 (1997). https://doi.org/10.1007/BF03167389
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DOI: https://doi.org/10.1007/BF03167389