A global characterization of the Fucik spectrum for a system of ordinary differential equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:234

Article

Massa, Eugenio ; Ruf, Bernhard

关键词: systems of ordinary differential equations;    Fucik spectrum for systems;    symmetry properties;   

DOI  :  10.1016/j.jde.2006.11.021

来源: Elsevier

【 摘 要 】

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 C-1 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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free