Dirichlet problem for second-order ordinary differential equations with segment-order derivative

被引：3

作者：

Efendiev, B. I. ^{[1
]}

机构：

[1] Kabardino Balkar Res Ctr, Res Inst Appl Math & Automat, Nalchik, Russia

来源：

MATHEMATICAL NOTES | 2015年 / 97卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

second-order ordinary differential equation; Dirichlet problem; segment-order derivative; Green function; fundamental solution; Euler gamma function;

D O I：

10.1134/S0001434615030347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fundamental solution of a second-order ordinary differential equation with segment-order derivative is constructed. The Green function of the Dirichlet problem is determined on the basis the fundamental solution and the solution of the Dirichlet problem for the equation under study is obtained under the solvability condition.

引用

页码：632 / 640

页数：9

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