## International Journal of Differential Equations

### On the Upper Bounds of Eigenvalues for a Class of Systems of Ordinary Differential Equations with Higher Order

#### Abstract

The estimate of the upper bounds of eigenvalues for a class of systems of ordinary differential equations with higher order is considered by using the calculus theory. Several results about the upper bound inequalities of the ($n+1$)th eigenvalue are obtained by the first $n$ eigenvalues. The estimate coefficients do not have any relation to the geometric measure of the domain. This kind of problem is interesting and significant both in theory of systems of differential equations and in applications to mechanics and physics.

#### Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 712703, 12 pages.

Dates
Revised: 16 July 2011
Accepted: 19 July 2011
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.ijde/1485313234

Digital Object Identifier
doi:10.1155/2011/712703

Mathematical Reviews number (MathSciNet)
MR2832511

Zentralblatt MATH identifier
1239.34021

#### Citation

Jia, Gao; Huang, Li-Na; Liu, Wei. On the Upper Bounds of Eigenvalues for a Class of Systems of Ordinary Differential Equations with Higher Order. Int. J. Differ. Equ. 2011 (2011), Article ID 712703, 12 pages. doi:10.1155/2011/712703. https://projecteuclid.org/euclid.ijde/1485313234

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