Abstract
We deal with the systems of nonlinear equations arising in the application of multiderivative block methods for initial value problems of ODEs. We give sufficient conditions for the unique solvability of the systems, and show that previous results become to special case of ours. A non-trivial example is given for the established result.
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Qiu, L., Mitsui, T. & Kuang, J. Unique solvability of nonlinear systems arising in the multiderivative block methods. Japan J. Indust. Appl. Math. 18, 647–656 (2001). https://doi.org/10.1007/BF03167409
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DOI: https://doi.org/10.1007/BF03167409