On some classes of difference equations of infinite order

Advances in Difference Equations

Vladimir B Vasilyev¹  Alexander V Vasilyev² 

[1] Chair of Pure Mathematics, Lipetsk State Technical University, Lipetsk, Russia;Department of Mathematical Analysis, National Research Belgorod State University, Belgorod, Russia

关键词: difference equation;    symbol;    solvability;    39B32;    42A38;   

DOI  :  10.1186/s13662-015-0542-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a certain class of difference equations on an axis and a half-axis, and we establish a correspondence between such equations and simpler kinds of operator equations. The last operator equations can be solved by a special method like the Wiener-Hopf method.

【 授权许可】

CC BY