Boundary value problems for generalized Lyapunov equations whose coefficients are time-dependant bounded linear operators defined on a separable complex Hilbert space are studied. Necessary and sufficient conditions for the existence of solutions and explicit expressions of them are given.
@article{urn:eudml:doc:38957, title = {Boundary problems for generalized Lyapunov equations.}, journal = {Stochastica}, volume = {10}, year = {1986}, pages = {223-231}, zbl = {0652.34021}, mrnumber = {MR0957488}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38957} }
Jódar Sánchez, Lucas. Boundary problems for generalized Lyapunov equations.. Stochastica, Tome 10 (1986) pp. 223-231. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38957/