A dynamical systems result on asymptotic integration of linear differential systems |
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| Authors: | Sigrun Bodine |
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| Institution: | Department of Mathematics and Computer Science, University of Puget Sound, 1500 N. Warner, Tacoma, WA 98416, USA |
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| Abstract: | We are interested in the asymptotic integration of linear differential systems of the form x′=Λ(t)+R(t)]x, where Λ is diagonal and R∈Lpt0,∞) for p∈1,2]. Our dichotomy condition is in terms of the spectrum of the omega-limit set ωΛ. Our results include examples that are not covered by the Hartman-Wintner theorem. |
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| Keywords: | Linear systems Asymptotic integration Spectral theory |
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