Electronic Journal of Differential Equations, Vol. 2008(2008), No. 155, pp. 1-11. Title: New approach to streaming semigroups with multiplying boundary conditions Author: Mohamed Boulanouar (Univ. de Poitiers, Poitiers, France) Abstract: This paper concerns the generation of a C_0-semigroup by the streaming operator with general multiplying boundary conditions. A first approach, presented in [2], is based on the Hille-Yosida's Theorem. Here, we present a second approach based on the construction of the generated semigroup, without using the Hille-Yosida's Theorem. Submitted May 15, 2008. Published November 12, 2008. Math Subject Classifications: 47D06. Key Words: Streaming operator; general boundary conditions; semigroup.