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The Fucik spectrum in models of suspension bridges
We study the set of periodic solutions of the nonlinear symmetric model of a suspension bridge and its connections with the Fucik spectrum. Results of numerical experiments that involve unknown branches of the Fucik spe...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
An extended variational characterization of the Fucik Spectrum for the p-Laplace operator
We introduce a new variational characterization of the Fucik spectrum of the p-Laplacian. The results are applied to the existence results for the resonance and nonresonance problems with bounded nonlinearity....
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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A new and extended variational characterization of the Fucik spectrum with application to nonresonance and resonance problems
We provide global variational characterization of the Fucik spectrum for the Laplace operator and the results apply to nonresonance and resonance problems....
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Beam Operator and the Fucik Spectrum
The aim of this paper is mainly to introduce a new variational approach in order to obtain a robust and global algorithm which is suitable for the exploration of unknown Fucik spectrum structure in the case of a beam operator. Quali...
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Ont he solvability of resonance problems with respect to the Fučík Spectrum
We prove existence results of Landesman-Lazer type for the resonance problem with Fucik spectrum.
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Solution to a semilinear problem on type II regions determined by the Fucik spectrum
We prove the existence of solutions to the semi-linear problem u''+au^+ +bu^- = f where the point [a,b] falls in regions of type (II) between curves of the Fucik spectrum. We use a variational method based on the generalization of t...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Potential Landesman-Lazer type conditions and the Fucik spectrum
We prove the existence of solutions to the nonlinear problem u''+lambda_+u^+ +lambda_-u^-+g(x,u)=f where the point [lambda_+,lambda_] is a point of the Fucik spectrum and the nonlinearity g satisfies a potential Landesman-Lazer type...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete Fucik spectrum - anchoring rather than pasting
In this short note we study a simple discrete Fucik spectrum. Trying to imitate standard continuous pasting procedures we derive a more complicated discrete analogue - anchoring. Using this technique we show that the problem of find...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Nonlinear boundary value problems with asymmetric nonlinearities - periodic solutions and the Fucik spectrum
of the model of a suspension bridge, the importance of the Fucik spectrum is shown es of the Fucik spectrum for a wave operator are explored using a continuation shooting method. Moreover, some qualitative propert...
BA - Obecná matematika
- 2003 •
- B
Rok uplatnění
B - Odborná kniha
The Fučík Spectrum: Exploring the Bridge Between Discrete and Continuous World
In this paper, we would like to point out some similarities of interesting structures of Fučík spectra for continuous and discrete operators. We propose a simple algorithm that allows us to complete the reconstruction of the Fučík spectrum <...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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