Guezane-Lakoud, Assia2021-06-012021-06-012005-08-15Guezane-Lakoud, A. (2005). Functional differential equations with non-local boundary conditions. <i>Electronic Journal of Differential Equations, 2005</i>(89), pp. 1-8.1072-6691https://hdl.handle.net/10877/13689In this work, we study an abstract boundary-value problem generated by an evolution equation and a non-local boundary condition. We prove the existence and uniqueness of the strong generalized solution and its continuity to respect to the parameters. The proofs are obtained via a priori estimates in non classical functional spaces and on the density of the range of the operator generated by the considered problem.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary-value problemsFunctional differential equationsFunctional differential equations with non-local boundary conditionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.