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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.
Jódar Sánchez, Lucas A.. "Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.." Publicacions Matemàtiques 34.1 (1990): 25-35. <http://eudml.org/doc/41111>.
@article{JódarSánchez1990, abstract = {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.}, author = {Jódar Sánchez, Lucas A.}, journal = {Publicacions Matemàtiques}, keywords = {Ecuaciones diferenciales; operator differential equations; exponential operator function; algebraic Lyapunov operator equation; Riccati operator differential equations}, language = {eng}, number = {1}, pages = {25-35}, title = {Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.}, url = {http://eudml.org/doc/41111}, volume = {34}, year = {1990}, }
TY - JOUR AU - Jódar Sánchez, Lucas A. TI - Solving a class of generalized Lyapunov operator differential equations without the exponential operator function. JO - Publicacions Matemàtiques PY - 1990 VL - 34 IS - 1 SP - 25 EP - 35 AB - 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. LA - eng KW - Ecuaciones diferenciales; operator differential equations; exponential operator function; algebraic Lyapunov operator equation; Riccati operator differential equations UR - http://eudml.org/doc/41111 ER -