Geodesic
On one nonlocal problem for the heat equation with an integral condition
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 5-9

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The solvability of the non-local problem with the integral condition for the heat-transfer equation is studied. The existence and uniqueness theorem for the generalized solution is proved. 
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O. Yu. Danilkina. On one  nonlocal problem for the heat equation with an integral condition. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 5-9. http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a0/