On a Class of Inverse Problems for a Parabolic Equation with Involution

被引：2
|
作者：
Sarsenbi, Abdisalam A. [1 ,2 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] Auezov South Kazakhstan State Univ, Shymkent, Kazakhstan
来源：
INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017) | 2017年 / 1880卷
关键词：
BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATION; TEMPERATURE; REFLECTION; OPERATOR; DENSITY;
D O I：
10.1063/1.5000637
中图分类号：
O59 [应用物理学];
学科分类号：
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 anti-periodic 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.
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收藏
页数：6
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