A comparison between the fourth order linear differential equation with its boundary value problem

被引：0

作者：

Jwamer, Karwan H. F. ^{[1
]}

Rasul, Rando R. Q. ^{[2
]}

机构：

[1] Univ Sulaimani, Coll Sci, Math Dept, Sulaimani, Kurdistan Riegi, Iraq

[2] Univ Sulaimani, Sch Basic Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2020年 / 99卷 / 03期

关键词：

linear differential equation; eigenvalue; eigenfunction; upper bound; linearly independent solution; L-2(0; infinity); wrongskian; Gronwall inequality; Variation of parameters;

D O I：

10.31489/2020M3/18-25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L-4(0, infinity). By comparing these results we obtain that all the eigenfunction of the boundary value problem generated by this differential equation are bounded and in L-4(0, infinity).

引用

页码：18 / 25

页数：8

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