ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS

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Published: Aug 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.3.545
Keywords:
Asymptotic equilibrium, asymptotic equilibrium in variation, asymptotic equivalence, strong stability, t∞-similarity, nonlinear differential systems
Mathematics Subject Classification (2020):
Primary 34D05, 34D23, 34E10

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Sung Kyu Choi
Department of Mathematics, Chungnam National University
Dong Man Im
Department of Mathematics Education, Cheongju University
Namjip Koo
Department of Mathematics, Chungnam National University

Abstract





We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear differential systems are equivalent via t∞-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.





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Article Details

Issue
Vol. 22 No. 3 (2009)
Section
Articles