Geodesic
A mixed problem for the heat equation with advanced time in boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 29-47

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One-dimensional mixed problem for the heat equation is studied, with time advance in nonlocal and non-self-adjoint boundary conditions, describing the real physical process. Under minimal conditions on the initial data, unique solvability is proved and an explicit representation for the solution is obtained.
Keywords: The mixed problem, deviation on time, residue method. 
@article{IVM_2020_3_a2,
     author = {Yu. A. Mammadov and H. I. Ahmadov},
     title = {A mixed problem for the heat equation with advanced time in boundary conditions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {29--47},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a2/}
}
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Yu. A. Mammadov; H. I. Ahmadov. A mixed problem for the heat equation with advanced time in boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 29-47. http://geodesic.mathdoc.fr/item/IVM_2020_3_a2/