Lyapunov-type inequality for a class of even-order differential equations

In this paper, we generalize the well-known Lyapunov-type inequality for second-order linear differential equations to a class of even-order linear differential equations, the results of this paper are new and generalize some known inequalities in the literatures.

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Bibliographic Details
Published inApplied mathematics and computation Vol. 215; no. 11; pp. 3884 - 3890
Main Authors Yang, Xiaojing, Lo, Kueiming
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.02.2010
Elsevier
Subjects
Eigenvalue problem
Even-order linear differential equations
Exact sciences and technology
Lyapunov-type inequality
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Even-order linear differential equations
Eigenvalue problem
Lyapunov-type inequality
Second order equation
Numerical analysis
Linear equation
Differential equation
Applied mathematics
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Summary:In this paper, we generalize the well-known Lyapunov-type inequality for second-order linear differential equations to a class of even-order linear differential equations, the results of this paper are new and generalize some known inequalities in the literatures.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2009.11.032