Non-classical heat conduction problem with nonlocal source

Boundary value problems

Domingo A Tarzia¹  Mahdi Boukrouche² 

[1] Departamento de MatemáInstitut Camille Jordan CNRS UMR 5208, Lyon University, Saint-Etienne, France;tica-CONICET, FCE, Universidad Austral, Rosario, Argentina

关键词: non-classical n-dimensional heat equation;    nonlocal sources;    Volterra integral equation;    existence and uniqueness of solution;    integral representation of solution;    explicit solution in one-dimensional case and its properties;    35C15;    35K05;    35K20;    35K60;    45D05;    45E10;    80A20;   

DOI  :  10.1186/s13661-017-0782-0

学科分类：数学（综合）

来源: SpringerOpen

【 授权许可】

CC BY