Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057442" target="_blank" >RIV/00216224:14310/12:00057442 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2012.06.033" target="_blank" >http://dx.doi.org/10.1016/j.laa.2012.06.033</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2012.06.033" target="_blank" >10.1016/j.laa.2012.06.033</a>

Result language
angličtina
Original language name
Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter
Original language description
In this paper we open a new direction in the study of discrete symplectic systems and Sturm-Liouville difference equations by introducing nonlinear dependence in the spectral parameter. We develop the notions of (finite) eigenvalues and (finite) eigenfunctions and their multiplicities, and prove the corresponding oscillation theorem for Dirichlet boundary conditions. The present theory generalizes several known results for discrete symplectic systems which depend linearly on the spectral parameter. Ourresults are new even for special discrete symplectic systems, namely for Sturm-Liouville difference equations, symmetric three-term recurrence equations, and linear Hamiltonian difference systems.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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