In this paper we study the resolution problem of an integral equation with operator valued kernel. We prove the equivalence between this equation and certain time varying linear operator system. Sufficient conditions for solving the problem and explicit expressions of the solutions are given.
@article{urn:eudml:doc:38949, title = {Integral equations and time varying linear systems.}, journal = {Stochastica}, volume = {10}, year = {1986}, pages = {133-149}, zbl = {0644.45007}, mrnumber = {MR0925778}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38949} }
Jódar, Lucas. Integral equations and time varying linear systems.. Stochastica, Tome 10 (1986) pp. 133-149. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38949/