In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C0, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.
@article{urn:eudml:doc:41111, title = {Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.}, journal = {Publicacions Matem\`atiques}, volume = {34}, year = {1990}, pages = {25-35}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41111} }
Jódar Sánchez, Lucas A. Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.. Publicacions Matemàtiques, Tome 34 (1990) pp. 25-35. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41111/