2007 Conference on Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems. 
Electron. J. Diff. Eqns., Conference 18 (2010), pp. 33-44.

Title: The Fucik spectra for multi-point boundary-value problems

Authors: Gabriela Holubova (Univ. of West Bohemia, Czech Republic)
         Petr Necesal  (Univ. of West Bohemia, Czech Republic)
 
Abstract: 
 We study the structure of the Fucik spectra
 for the linear multi-point differential operators.
 We introduce a variational approach in order to obtain a robust and
 global algorithm which is suitable for the exploration of unknown
 Fucik spectrum structure. We apply our approach in the case of
 the four-point selfadjoint differential operator of the fourth order
 which is closely connected to the nonlinear model of a suspension bridge
 with two towers. Moreover, we reconstruct the Fucik spectra
 in the case of four-point non-selfadjoint ordinary
 differential operators of the second order in order to demonstrate
 their non-trivial and interesting structure.

Published July 10, 2010.
Math Subject Classifications: 34B10, 34B15, 34L05.
Key Words: Fucik spectrum; asymmetric nonlinearities;
           multi-point boundary value problem; 
	   suspension bridge with two towers.