Geodesic
Autoregulated Impulse Point Heating of a Finite Medium
Matematičeskie zametki, Tome 79 (2006) no. 1, pp. 102-106 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a finite heat conducting medium whose boundary is maintained at zero temperature and, moreover, to which the same amount of heat is supplied at a certain point at the instant when the temperature at this point decreases to a given level. Up to an arbitrary shift in time, we prove the existence and uniqueness of a periodic regime with a unique heat pulse during each period. We present an efficient algorithm for constructing this regime if the medium is either an $n$-dimensional ball heated at the center or an interval heated at an arbitrary point. 
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A. D. Myshkis. Autoregulated Impulse Point Heating of a Finite Medium. Matematičeskie zametki, Tome 79 (2006) no. 1, pp. 102-106. http://geodesic.mathdoc.fr/item/MZM_2006_79_1_a7/

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[2] Myshkis A. D., “On a recurrently defined sequence”, J. Differential Equations Appl., 3:1 (1997), 89–91 | DOI | MR | Zbl

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