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ファイル
言語
英語
著者
Ogami, Yuichi
Onitsuka, Masakazu
内容記述(抄録等)
Sufficient conditions are obtained for uniform stability and asymptotic stability of the zero solution of two-dimensional quasi-linear systems under the assumption that the zero solution of linear approximation is not always uniformly attractive. A class of quasi-linear systems considered in this paper includes a planar system equivalent to the damped pendulum x′′ + h(t)x′ + sin x = 0, where h(t) is permitted to change sign. Some suitable examples are included to illustrate the main results.
主題
Asymptotic stability
Uniform stability
Quasi-linear systems
Weakly integrally positive
Discontinuous coefficients
掲載誌名
Annali di matematica pura ed applicata
190
3
開始ページ
409
終了ページ
425
ISSN
03733114
発行日
2011-09
DOI
DOI公開日
2017-05-22
NCID
AA00531669
出版者
Springer Berlin Heidelberg
資料タイプ
学術雑誌論文
ファイル形式
PDF
権利関係
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2010
The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-010-0156-z.
著者版/出版社版
著者版
部局
(旧組織)大学院総合理工学研究科