|
This article is cited in 1 scientific paper (total in 1 paper)
On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations
A. T. Assanovaa, A. P. Sabalakhovab a Department of Differential Equations,
Institute of Mathematics and Mathematical Modeling MES RK,
125 Pushkin St,
050010 Almaty, Kazakhstan
b Faculty of Physics and Mathematics,
M. Auezov South-Kazakhstan State University,
5 Tauke Khan St,
160012 Shymkent, Kazakhstan
Abstract:
A nonlocal problem with integral conditions for a hybrid system of partial differential equations is investigated. Based on the results for nonlocal problems for a system of hyperbolic equations coefficient conditions are established ensuring the existence of classical solutions to a nonlocal problem with integral conditions for a hybrid system of partial differential equations, and algorithms of finding such solutions are suggested.
Keywords and phrases:
hybrid system, nonlocal problem, integral condition, solvability, algorithm.
Received: 28.10.2016
Citation:
A. T. Assanova, A. P. Sabalakhova, “On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations”, Eurasian Math. J., 9:3 (2018), 14–24
Linking options:
https://www.mathnet.ru/eng/emj302 https://www.mathnet.ru/eng/emj/v9/i3/p14
|
Statistics & downloads: |
Abstract page: | 222 | Full-text PDF : | 92 | References: | 39 |
|