IJPAM: Volume 103, No. 1 (2015)
School of Economics & Trade
Guangdong University of Foreign Studies
Guangzhou, 510006, P.R. CHINA
Department of Mathematics
Sun Yat-Sen University
Guangzhou, 510275, P.R. CHINA
Abstract. We prove the Hyers-Ulam stability of a partial differential equation. That is, if is an approximate solution of the heat-conduction equation and , then there exists an exact solution of the differential equation near to .
Received: March 15, 2015
AMS Subject Classification: 34K20, 26D10
Key Words and Phrases: Hyers-Ulam stability, heat-conduction equation, partial differential equation
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DOI: 10.12732/ijpam.v103i1.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 71 - 80