Asymptotic behavior of a class of perturbed differential equations
Keyword(s):
UDC 517.9 This paper deals with the problem of stability of nonlinear differential equations with perturbations. Sufficient conditions for global uniform asymptotic stability in terms of Lyapunov-like functions and integral inequality are obtained. The asymptotic behavior is studied in the sense that the trajectories converge to a small ball centered at the origin. Furthermore, an illustrative example in the plane is given to verify the effectiveness of the theoretical results.
2019 ◽
Vol 38
(6)
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pp. 159-171
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2005 ◽
Vol 2005
(1)
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pp. 29-35
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2011 ◽
Vol 48
(1)
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pp. 135-143
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2014 ◽
Vol 07
(03)
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pp. 1450039
Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
2020 ◽
Vol 21
(7-8)
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pp. 749-759