Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative

被引：2

作者：

Mamedov, I. G. ^{[1
]}

机构：

[1] Natl Acad Sci Azerbaijan, Guseinov Inst Cybernet, Baku, Azerbaijan

来源：

MATHEMATICAL NOTES | 2014年 / 96卷 / 1-2期

关键词：

three-dimensional equation with highest derivative of fifth order; Goursat problem; Volterra integral equation; Sobolev space; RIEMANN FUNCTION; CONSTRUCTION;

D O I：

10.1134/S0001434614070256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with L (p) -coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.

引用

页码：239 / 247

页数：9

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