A Liapunov Inequality for Linear Hamiltonian Systems

Stephen L. Clark; Don B. Hinton

doi:10.7153/mia-01-18

A Liapunov Inequality for Linear Hamiltonian Systems

Stephen L. Clark
, Don B. Hinton

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A Liapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients. A new criterion of stability is given for a differential equation with periodic coefficients.

Original language	American English
Journal	Mathematical Inequalities and Applications
Volume	1
DOIs	https://doi.org/10.7153/mia-01-18
State	Published - Apr 1 1998

Keywords

Disconjugacy
Hamiltonian system
Liapunov inequality

Disciplines

Mathematics
Statistics and Probability

Access to Document

10.7153/mia-01-18License: Unspecified

https://doi.org/10.7153/mia-01-18

Cite this

@article{3a38d52c9ff343ff8d74447f9fd511b4,

title = "A Liapunov Inequality for Linear Hamiltonian Systems",

abstract = " A Liapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients. A new criterion of stability is given for a differential equation with periodic coefficients.",

keywords = "Disconjugacy, Hamiltonian system, Liapunov inequality",

author = "Clark, \{Stephen L.\} and Hinton, \{Don B.\}",

year = "1998",

month = apr,

day = "1",

doi = "10.7153/mia-01-18",

language = "American English",

volume = "1",

journal = "Mathematical Inequalities and Applications",

}

TY - JOUR

T1 - A Liapunov Inequality for Linear Hamiltonian Systems

AU - Clark, Stephen L.

AU - Hinton, Don B.

PY - 1998/4/1

Y1 - 1998/4/1

N2 - A Liapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients. A new criterion of stability is given for a differential equation with periodic coefficients.

AB - A Liapunov type inequality is proved for a linear Hamiltonian system. This inequality allows estimates of intervals of disconjugacy. The inequality is particularly applicable to equations with oscillatory coefficients. A new criterion of stability is given for a differential equation with periodic coefficients.

KW - Disconjugacy

KW - Hamiltonian system

KW - Liapunov inequality

UR - https://scholarsmine.mst.edu/math_stat_facwork/782

UR - https://doi.org/10.7153/mia-01-18

U2 - 10.7153/mia-01-18

DO - 10.7153/mia-01-18

M3 - Article

VL - 1

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

ER -

A Liapunov Inequality for Linear Hamiltonian Systems

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this