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

The Fucik spectra for multi-point boundary-value problems

Gabriela Holubova, Petr Necesal

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.

Show me the PDF file (460K), TEX file, and other files for this article.

Gabriela Holubova
University of West Bohemia, Univerzitni 22
306 14 Plzen, Czech Republic
email: gabriela@kma.zcu.cz
Petr Necesal
University of West Bohemia, Univerzitni 22
306 14 Plzen, Czech Republic
email: pnecesal@kma.zcu.cz

Return to the table of contents for this conference.
Return to the EJDE web page