Abstract
We propose an algorithm for the construction of asymptotic expansions for solutions of the Dirichlet problem for the heat equation with impulses.
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A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, Singapore (1995).
A. M. Samoilenko, Yu. I. Kaplun, and V. H. Samoilenko, “Singularly perturbed equations with impulse action,” Ukr. Mat. Zh., 54, No. 8, 1089–1099 (2002).
V. H. Samoilenko and K. K. Elgondyev, “On periodic solutions of linear differential equations with pulsed influence,” Ukr. Mat. Zh., 49, No. 1, 141–148 (1997).
K. K. Elgondyev, “On periodic solutions of impulsive systems,” Uzb. Mat. Zh., No. 4, 62–67 (1999).
V. H. Samoilenko and L. V. Khomchenko, “Neumann boundary-value problem for singularly perturbed heat equation with impulses,” Nonlin. Oscillations, 8, No. 1, 89–123 (2005).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 427–430, March, 2006.
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Matarazzo, G. Asymptotic solutions of the Dirichlet problem for the heat equation with impulses. Ukr Math J 58, 482–486 (2006). https://doi.org/10.1007/s11253-006-0080-y
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DOI: https://doi.org/10.1007/s11253-006-0080-y