Abstract
The Dunford-Taylor integral has been used in order to compute the inverse of a non-singular complex matrix. In what follows, the obtained result are extended in order to derive, under suitable conditions, the solution of initial value problems for a linear system of ordinary differential equations with variable coefficients.
Version Information
The current pdf replaces the original pdf file, first available on 16 December 2021. The new version corrects the DOI prefix to read 10.32513.
Acknowledgments
The authors are grateful to the anonymous referee for his useful comment.
Citation
Diego Caratelli. Ernesto Palini. Paolo Emilio Ricci. "Matrix functions with variable entries via the Dunford-Taylor integral." Tbilisi Math. J. 14 (4) 1 - 16, December 2021. https://doi.org/10.32513/asetmj/1932200811
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