Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method

Author:

Guezane-Lakoud Assia1,Dabas Jaydev2,Bahuguna Dhirendra3

Affiliation:

1. Laboratory of Advanced Materials, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria

2. Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Allahabad 211 004, India

3. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208 016, India

Abstract

We consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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