On a class of inverse problems for a heat equation with involution perturbation

被引：21
|
作者：
Al-Salti, Nasser [1 ]
Kirane, Mokhtar [2 ]
Torebek, Berikbol T. [3 ,4 ]
机构：
[1] Sultan Qaboos Univ, Dept Math, POB 36, Muscat 123, Oman
[2] Univ La Rochelle, Fac Sci & Technol, LaSIE, Ave Michel Crepeau, F-17000 La Rochelle, France
[3] Inst Math & Math Modeling, Pushkin St 125, Alma Ata 050010, Kazakhstan
[4] Al Farabi Kazakh Natl Univ, Al Farabi Ave 71, Alma Ata 050040, Kazakhstan
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 03期
关键词：
Inverse problems; heat equation; involution perturbation; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; TEMPERATURE; REFLECTION; DENSITY;
D O I：
10.15672/HJMS.2017.538
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of inverse problems for a heat equation with involution perturbation is considered using four different boundary conditions, namely, Dirichlet, Neumann, periodic and antiperiodic boundary conditions. Proved theorems on existence and uniqueness of solutions to these problems are presented. Solutions are obtained in the form of series expansion using a set of appropriate orthogonal basis for each problem. Convergence of the obtained solutions is also discussed.
引用
收藏
页码：669 / 681
页数：13
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