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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 3, Pages 29–47
DOI: https://doi.org/10.26907/0021-3446-2020-3-29-47 (Mi ivm9549) 		 
A mixed problem for the heat equation with advanced time in boundary conditions

Yu. A. Mammadov, H. I. Ahmadov

Baku State University, 23 Z. Khalilov str., Baku, AZ-1148 Azerbaijan
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DOI: https://doi.org/10.26907/0021-3446-2020-3-29-47
Abstract: 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.
Received: 21.01.2019
Revised: 17.10.2019
Accepted: 18.12.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 3, Pages 25–42
DOI: https://doi.org/10.3103/S1066369X20030032
Bibliographic databases:
Document Type: Article
UDC: 519.64
Language: Russian
Citation: Yu. A. Mammadov, H. I. Ahmadov, “A mixed problem for the heat equation with advanced time in boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 29–47; Russian Math. (Iz. VUZ), 64:3 (2020), 25–42
Citation in format AMSBIB
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