Properties of inversion operator of the Abel matrix equation
Рина Ринатовна Исмагилова · DOAJ (DOAJ: Directory of Open Access Journals) · 2010
Generalization of integral-differential Riemann-Liouville operator on the matrix order-is reviewed and its properties are studied. Theorem of the composition of operators of the matrix of integration and differentiation can be proved. The necessary and sufficient conditions for the unique solvability of the matrix Abel equation in a special class of functions are obtained.