Matrix functions with variable entries via the Dunford-Taylor integral

D. Caratelli, E. Palini, P. E. Ricci

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. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 14(4) (2021), pp. 1-16