Hyers-Ulam-Rassias Stability for the Heat Equation

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References

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[15] G. Wang, M. Zhou and L. Sun, “Hyers-Ulam Stability of Linear Differential Equations of First Order,” Applied Mathematics Letters, Vol. 21, No. 10, 2008, pp. 10241028. doi:10.1016/j.aml.2007.10.020

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[20] M. E. Gordji, Y. J. Cho, M. B. Ghaemi and B. Alizadeh, “Stability of the Exact Second Order Partial Differential Equations,” Journal of Inequalities and Applications, Vol. 2011, 2011, Article ID: 306275.
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[21] N. Lungu and C. Craciun, “Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation,” ISRN Mathematical Analysis, Vol. 2012, 2012, Article ID: 609754.

[22] L. C. Evans, “Partial Differential Equations,” 2nd Edition, Graduate Studies in Mathematics, V19 AMS, 2010.