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• W2100371912 abstract "In this article we propose how to define the Fučik spectra for differential systems in Rnwith jumping nonlinearities. The PropertyP, a generalization of the non-Fučik spectra to positively homogeneous nonautonomous differential systems, is also defined in the most general setting. A quantitative estimate result concerning the parameterized completely continuous, positively homogeneous perturbations of the identity in Banach spaces is given in this article. Such a result is a generalization of one property in the spectrum theory for completely continuous linear operators. Using this estimate result, we will give some significantly improved nonresonance results from the Fučik spectra and PropertyPfor asymptotically positively homogeneous differential systems." @default.
• W2100371912 created "2016-06-24" @default.
• W2100371912 creator A5014530665 @default.
• W2100371912 date "1998-05-01" @default.
• W2100371912 modified "2023-10-16" @default.
• W2100371912 title "Nonresonance Conditions for Asymptotically Positively Homogeneous Differential Systems: The Fučik Spectrum and Its Generalization" @default.
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• W2100371912 doi "https://doi.org/10.1006/jdeq.1997.3403" @default.
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