Extensions of a theorem of Wintner on systems with asymptotically constant solutions
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- by William F. Trench PDF
- Trans. Amer. Math. Soc. 293 (1986), 477-483 Request permission
Abstract:
A theorem of Wintner concerning sufficient conditions for a system $y’ = A(t)y$ to have linear asymptotic equilibrium is extended to a system $x’ = A(t)x + f(t,x)$. The integrability conditions imposed on $f$ permit conditional convergence of some of the improper integrals that occur. The results improve on Wintner’s even if $f = 0$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 293 (1986), 477-483
- MSC: Primary 34C11; Secondary 34D05
- DOI: https://doi.org/10.1090/S0002-9947-1986-0816305-3
- MathSciNet review: 816305