2021 UNC Greensboro PDE Conference.
Electron. J. Diff. Eqns., Conference 26 (2022), pp. 33-43.


Title: Basisness of Fucik eigenfunctions for the Dirichlet Laplacian

Authors: Falko Baustian (Univ. of Rostock, Germany)
         Vladimir Bobkov (Ufa Federal Research Centre, Russia)
 
Abstract: 
We provide improved sufficient assumptions on sequences of Fucik eigenvalues
of the one-dimensional Dirichlet Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in L<sup>2</sup>(0,&pi;).
For that purpose, we introduce a criterion for a sequence in a Hilbert space to be a Riesz basis.

Published August 25, 2022.
Math Subject Classifications: 34L10, 34B08, 47A70.
Key Words: Fucik spectrum; Fucik eigenfunctions; Riesz basis; Paley-Wiener stability.