Functional differential equations with non-local boundary conditions

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guezane.pdf (178.01 KB)
Date
2005-08-15
Authors
Guezane-Lakoud, Assia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Boundary-value problems, Functional differential equations
Citation
Guezane-Lakoud, A. (2005). Functional differential equations with non-local boundary conditions. <i>Electronic Journal of Differential Equations, 2005</i>(89), pp. 1-8.
URI
https://hdl.handle.net/10877/13689
Collections
Electronic Journal of Differential Equations