Asymptotic behavior of the curves in the Fučík spectrum

In this work, we study the asymptotic behavior of the curves of the Fučík spectrum for weighted second-order linear ordinary differential equations. We prove a Weyl type asymptotic behavior of the hyperbolic type curves in the spectrum in terms of some integrals of the weights. We present an algorit...

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Autores principales: Pinasco, J.P., Salort, A.M.
Formato: JOUR
Materias:
eigenvalue bounds
Fučík spectrum
Weyl's type estimates
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02191997_v19_n4_p_Pinasco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_02191997_v19_n4_p_Pinasco
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spelling todo:paper_02191997_v19_n4_p_Pinasco2023-10-03T15:11:04Z Asymptotic behavior of the curves in the Fučík spectrum Pinasco, J.P. Salort, A.M. eigenvalue bounds Fučík spectrum Weyl's type estimates In this work, we study the asymptotic behavior of the curves of the Fučík spectrum for weighted second-order linear ordinary differential equations. We prove a Weyl type asymptotic behavior of the hyperbolic type curves in the spectrum in terms of some integrals of the weights. We present an algorithm which computes the intersection of the Fučík spectrum with rays through the origin, and we compare their values with the asymptotic ones. © 2017 World Scientific Publishing Company. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Salort, A.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02191997_v19_n4_p_Pinasco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic eigenvalue bounds
Fučík spectrum
Weyl's type estimates
spellingShingle eigenvalue bounds
Fučík spectrum
Weyl's type estimates
Pinasco, J.P.
Salort, A.M.
Asymptotic behavior of the curves in the Fučík spectrum
topic_facet eigenvalue bounds
Fučík spectrum
Weyl's type estimates
description In this work, we study the asymptotic behavior of the curves of the Fučík spectrum for weighted second-order linear ordinary differential equations. We prove a Weyl type asymptotic behavior of the hyperbolic type curves in the spectrum in terms of some integrals of the weights. We present an algorithm which computes the intersection of the Fučík spectrum with rays through the origin, and we compare their values with the asymptotic ones. © 2017 World Scientific Publishing Company.
format JOUR
author Pinasco, J.P.
Salort, A.M.
author_facet Pinasco, J.P.
Salort, A.M.
author_sort Pinasco, J.P.
title Asymptotic behavior of the curves in the Fučík spectrum
title_short Asymptotic behavior of the curves in the Fučík spectrum
title_full Asymptotic behavior of the curves in the Fučík spectrum
title_fullStr Asymptotic behavior of the curves in the Fučík spectrum
title_full_unstemmed Asymptotic behavior of the curves in the Fučík spectrum
title_sort asymptotic behavior of the curves in the fučík spectrum
url http://hdl.handle.net/20.500.12110/paper_02191997_v19_n4_p_Pinasco
work_keys_str_mv AT pinascojp asymptoticbehaviorofthecurvesinthefucikspectrum
AT salortam asymptoticbehaviorofthecurvesinthefucikspectrum
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