Functional differential equations with non-local boundary conditions

Date

2005-08-15

Authors

Guezane-Lakoud, Assia

Journal Title

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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.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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