Asymptotic behavior of the curves in the Fučík spectrum
Copyright policy )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 algorithm which computes the intersection of the Fučík spectrum with rays through the origin, and we compare their values with the asymptotic ones.
- National Scientific and Technical Research Council Argentina
- Universidad de la Ciudad de Buenos Aires Argentina
- University of Buenos Aires Argentina
Nonlinear boundary value problems for ordinary differential equations, Nonlinear ordinary differential operators, Parameter dependent boundary value problems for ordinary differential equations, Weyl's type estimates, FUČÍK SPECTRUM, eigenvalue bounds, WEYL'S TYPE ESTIMATES, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Boundary eigenvalue problems for ordinary differential equations, EIGENVALUE BOUNDS, https://purl.org/becyt/ford/1, Fučík spectrum, Analysis of PDEs (math.AP)
Nonlinear boundary value problems for ordinary differential equations, Nonlinear ordinary differential operators, Parameter dependent boundary value problems for ordinary differential equations, Weyl's type estimates, FUČÍK SPECTRUM, eigenvalue bounds, WEYL'S TYPE ESTIMATES, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Boundary eigenvalue problems for ordinary differential equations, EIGENVALUE BOUNDS, https://purl.org/becyt/ford/1, Fučík spectrum, Analysis of PDEs (math.AP)
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