Lower Bounds for the Minimum Eigenvalue of the bi-Laplacianon a Graph

被引：0

作者：

Kulaev, R. Ch. ^{[1
]}

Karkuzaev, S. A. ^{[2
]}

机构：

[1] Russian Acad Sci, Branch Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz 362025, Russia

[2] Khetagurov North Ossetian State Univ, Vladikavkaz 362025, Russia

来源：

DIFFERENTIAL EQUATIONS | 2024年 / 60卷 / 08期

关键词：

differential equation on graph; eigenvalue; rod equation; Sturm theorem; GREEN-FUNCTION; 4TH-ORDER; DISCONJUGACY; MULTIPLICITY; EQUATIONS; OPERATOR;

D O I：

10.1134/S0012266124080032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lower bounds for the minimum eigenvalues of fourth-order differential operators on graphs are found. An analog of the Picone identity for a fourth-order equation on a network is established. Comparison theorems of the Sturm type for such an equation are obtained.

引用

页码：1014 / 1027

页数：14

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