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.
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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 |
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