A Global Characterization of the Fucik Spectrum for a System of Ordinary Differential Equations
نویسندگان
چکیده
The Fuč́ık spectrum for systems of second order ordinary differential equations with Dirichlet or Neumann boundary values is considered: it is proved that the Fuč́ık spectrum consists of global C 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.
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