Abstract
In this paper we study properties of the Neumann discrete problem. We investigate so called polar Pareto spectrum of a specific matrix which represents the Neumann discrete operator. There is a known relation between polar Pareto spectrum of any discrete operator and its Fučík spectrum. We also state a conjecture about asymptotes of Fučík curves with respect to the matrix and we illustrate a variety of polar Pareto eigenvectors corresponding to a fixed polar Pareto eigenvalue.
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Acknowledgements
The author was supported by the Grant Agency of the Czech Republic, grant no.13-00863S.
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Looseová, I. (2018). Conjecture on Fučík Curve Asymptotes for a Particular Discrete Operator. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_20
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DOI: https://doi.org/10.1007/978-3-319-75647-9_20
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