A global characterization of the Fucik spectrum for a system of ordinary differential equations
Articolo
Data di Pubblicazione:
2007
Citazione:
A global characterization of the Fucik spectrum for a system of ordinary differential equations / Eugenio Massa, Bernhard Ruf. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 234:1(2007 Mar), pp. 311-336.
Abstract:
The Fucik spectrum for systems of second order ordinary differential equations with
Dirichlet or Neumann boundary values is considered: it is proved that the Fucik spectrum consists of global C1 surfaces, and that through each eigenvalue of the linear system pass exactly two of these surfaces. Further qualitative, asymptotic and symmetry properties of these spectral surfaces are given. Finally, related problems with nonlinearities which cross asymptotically some eigenvalues, as well as linear- superlinear systems are studied.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Fučík spectrum for systems; Symmetry properties; Systems of ordinary differential equations
Elenco autori:
Eugenio Massa, Bernhard Ruf
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