ON THE UNIQUE SOLVABILITY OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER LINEAR DIFFERENTIAL EQUATIONS WITH SINGULARITIES

被引：0

作者：

Kiguradze, Ivan ^{[1
]}

机构：

[1] Ivane Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0186 Tbilisi, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2021年 / 175卷 / 03期

关键词：

Third order linear differential equation; Singular; Two-point boundary value problem; Fredholmity; Unique solvability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Optimal in a certain sense conditions guaranteeing the unique solvability of the boundary value problem u ''' = p(t)u + q(t), u(a+) = c(0), u '(a+) = c(1), Sigma(k)(i=0) l(i)u((i))(b-) = c2 are established in the case when the functions p and q : ]a, b[ -> R have nonintegrable singularities at the points a and b.

引用

页码：367 / 382

页数：16

共 9 条

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