Title: Perturbing Uniform Ultimate Bounded Differential Systems
Abstract:We obtain results on the eventual uniform boundedness and eventual uniform ultimate boundedness of solutions of the differential equation \[ \dot x = f(t,x) + g(t,x)\] given that solutions of the equa...We obtain results on the eventual uniform boundedness and eventual uniform ultimate boundedness of solutions of the differential equation \[ \dot x = f(t,x) + g(t,x)\] given that solutions of the equation $\dot x = f(t,x)$ are uniformly bounded and uniformly ultimately bounded. By assuming various regularity conditions on f we obtain admissible classes of g such that the boundedness properties are preserved. By use of various examples the admissible classes of g are shown to be “maximal.”Read More
Publication Year: 1972
Publication Date: 1972-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 10
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