A Liapunov Inequality for Linear Hamiltonian Systems

Author

Stephen L. Clark, Missouri University of Science and TechnologyFollow
Don B. Hinton

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.

Recommended Citation

S. L. Clark and D. B. Hinton, "A Liapunov Inequality for Linear Hamiltonian Systems," Mathematical Inequalities and Applications, vol. 1, no. 2, pp. 201 - 209, Element, Apr 1998.

The definitive version is available at https://doi.org/10.7153/mia-01-18

Department(s)

Mathematics and Statistics

Keywords and Phrases

Disconjugacy; Hamiltonian system; Liapunov inequality

International Standard Serial Number (ISSN)

1331-4343

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Element, All rights reserved.

Publication Date

01 Apr 1998