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On asymptotic behavior of perturbed nonlinear systems


Authors: R. E. Fennell and T. G. Proctor
Journal: Proc. Amer. Math. Soc. 31 (1972), 499-504
DOI: https://doi.org/10.1090/S0002-9939-1972-0287099-3
MathSciNet review: 0287099
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Abstract | References | Additional Information

Abstract: A version of the variation of constants formula for nonlinear systems is used to study the comparative asymptotic behavior of the systems $ x' = f(t,x)$ and $ y' = f(t,y) + g(t,y)$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0287099-3
Keywords: Asymptotic behavior, perturbed nonlinear differential equations, variation of constants, Schauder fixed point theorems, asymptotic equivalence
Article copyright: © Copyright 1972 American Mathematical Society

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