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).
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页码：18 / 25
页数：8
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