We prove the existence and uniqueness of a solution of a boundary-value problem for a heat equation with delay. For the construction of a solution, we use a special “delayed exponential function.”
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Translated from Neliniini Kolyvannya, Vol. 12, No. 2, pp. 251–272, April–June, 2009.
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Khusainov, D.Y., Ivanov, A.F. & Kovarzh, I. Solution of one heat equation with delay. Nonlinear Oscill 12, 260–282 (2009). https://doi.org/10.1007/s11072-009-0075-3
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DOI: https://doi.org/10.1007/s11072-009-0075-3