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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Pinasco, Juan Pablo, Salort, Ariel Martín
Publicado: 2017
Materias:
eigenvalue bounds
Fučík spectrum
Weyl's type estimates
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v19_n4_p_Pinasco
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 paper:paper_02191997_v19_n4_p_Pinasco
record_format dspace
spelling paper:paper_02191997_v19_n4_p_Pinasco2023-06-08T15:21:35Z Asymptotic behavior of the curves in the Fučík spectrum Pinasco, Juan Pablo Salort, Ariel Martín 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v19_n4_p_Pinasco 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, Juan Pablo
Salort, Ariel Martín
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.
author Pinasco, Juan Pablo
Salort, Ariel Martín
author_facet Pinasco, Juan Pablo
Salort, Ariel Martín
author_sort Pinasco, Juan Pablo
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
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v19_n4_p_Pinasco
http://hdl.handle.net/20.500.12110/paper_02191997_v19_n4_p_Pinasco
work_keys_str_mv AT pinascojuanpablo asymptoticbehaviorofthecurvesinthefucikspectrum
AT salortarielmartin asymptoticbehaviorofthecurvesinthefucikspectrum
_version_ 1768542690023047168

Ejemplares similares