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Non-classical heat conduction problem with nonlocal source

Published:2017-04-13 Issue:1 Volume:2017 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Boukrouche Mahdi,Tarzia Domingo A

Funder

CONICET - Univ. Austral, Argentina

AFOSR-SOARD

Institut Camile Jordan St-Etienne University

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-017-0782-0.pdf

Reference33 articles.

1. Cannon, JR: The One-Dimensional Heat Equation. Addison-Wesley, Menlo Park (1984)

2. Carslaw, HS, Jaeger, CJ: Conduction of Heat in Solids. Clarendon, Oxford (1959)

3. Boukrouche, M, Tarzia, DA: Global solution to a non-classical heat problem in the semi-space R + × R n − 1 $\mathbb{R}^{+}\times\mathbb{R}^{n-1}$ . Q. Appl. Math. 72, 347-361 (2014)

4. Berrone, LR, Tarzia, DA, Villa, LT: Asymptotic behavior of a non-classical heat conduction problem for a semi-infinite material. Math. Methods Appl. Sci. 23, 1161-1177 (2000)

5. Ceretani, AN, Tarzia, DA, Villa, LT: Explicit solutions for a non-classical heat condition problem for a semi-infinite strip with a non-uniform heat source. Bound. Value Probl. 2015, 156 (2015)

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