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Note on asymptotic equivalence for measure differential equations

Published online by Cambridge University Press:  17 April 2009

V. Sree Hari Rao
V. Sree Hari Rao
Affiliation:
Department of Mathematics, Osmania University, Hyderabad, Andhra Pradesh, India.
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Abstract

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Two nonlinear ordinary differential systems, one of which contains impulses are considered in this note, and assuming the existence of bounded solutions, some results on asymptotic equivalence type correspondence between them are obtained. At the end an open question is posed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 455 - 460
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Lakshmikantham, V. and Leela, S., Differential and integral inequalities. Volume I: Theory and applications (Mathematics in Science and Engineering, 55. Academic Press, New York and London, 1969).Google Scholar
[2]Lovelady, David Lowell, “Asymptotic equivalence for two nonlinear systems”, Math. Systems Theory 7 (1973), 170–175.CrossRefGoogle Scholar
[3]Rao, M. Rama Mohana and Rao, V. Sree Hari, “Stability of impulsively perturbed systems”, Bull. Austral. Math. Soc. 16 (1977), 99–110.Google Scholar
[4]Rao, V. Sree Hari, “Asymptotically self invariant sets and stability of measure differential equations”, Nonlinear Anal. Theory, Methods Appl. 2 (1977), 1–7.Google Scholar
[5]Rao, V. Sree Hari, “On boundedness of impulsively perturbed systems”, Bull. Austral. Math. Soc. 18 (1978), 237–242.CrossRefGoogle Scholar
[6]Rao, V. Sree Hari, “Note on conditionally asymptotically invariant sets”, J. Mathematical and Physical Sci. (to appear).Google Scholar