On solvability of linear difference equations in smooth and real analytic vector functions of several variables期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On solvability of linear difference equations in smooth and real analytic vector functions of several variables

Authors:	Genrich Belitskii Vadim Tkachenko

Affiliation:	(1) Department of Mathematics, Ben-Gurion Univ. of the Nege, 84105 Beer Sheva, Israel;(2) Institute for Low Temperature, Keharkov, Ukraine

Abstract:	We investigate the multidimensional equations _j=1^q A_j(x)y(x+e_j)=f(x),e_j ⁿ wherex ⁿ andA_j : ⁿ Hom(^p,^m),f : ⁿ ^m are given maps. Sufficient conditions for smooth and analytic solvability for anyf C^k,k are found.Research partially supported by the Israel Ministry of ScienceAMS classification 39B Functional equations

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