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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Guardado en:
Detalles Bibliográficos
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
Descripción
Sumario: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.

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