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On the solutions of a boundary value problem of linear thermoelasticity system with nonlocal conditions |
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| Authors: | Lazhar Bougoffa Hind K. Al-Jeaid |
| Affiliation: | Al-Imam University, Faculty of Science, Department of Mathematics, P.O. Box 90950, Riyadh 11623, Saudi Arabia Umm Al-Qura University, Department of Mathematics, Makkah, Saudi Arabia Department of Mathematics, Western Michigan University, Kalamazoo 49008-5248, USA |
| Abstract: | This paper studies a boundary value problem with nonlocal conditions for a coupled system of linear thermoelasticity in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some explicit solutions are obtained by using the separation method. |
| Keywords: | Coupled system Nonlocal boundary conditions A priori estimate Separation method |
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