Uniform global asymptotic stability for half-linear differential systems with time-varying coefficients
2011 ◽
Vol 141
(5)
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pp. 1083-1101
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Keyword(s):
The present paper deals with the following system:where p and p* are positive numbers satisfying 1/p + 1/p* = 1, and ϕq(z) = |z|q−2z for q = p or q = p*. This system is referred to as a half-linear system. We herein establish conditions on time-varying coefficients e(t), f(t), g(t) and h(t) for the zero solution to be uniformly globally asymptotically stable. If (e(t), f(t)) ≡ (h(t), g(t)), then the half-linear system is integrable. We consider two cases: the integrable case (e(t), f(t)) ≡ (h(t), g(t)) and the non-integrable case (e(t), f(t)) ≢ (h(t), g(t)). Finally, some simple examples are presented to illustrate our results.
2009 ◽
Vol 67
(4)
◽
pp. 687-705
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2008 ◽
Vol 78
(3)
◽
pp. 445-462
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2014 ◽
Vol 2014
◽
pp. 1-6
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2019 ◽
Vol 522
◽
pp. 215-231
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Keyword(s):
2008 ◽
Vol 21
(7)
◽
pp. 717-721
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