Comparison theorems for self-adjoint linear Hamiltonian eigenvalue problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073405" target="_blank" >RIV/00216224:14310/14:00073405 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201200314" target="_blank" >http://dx.doi.org/10.1002/mana.201200314</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201200314" target="_blank" >10.1002/mana.201200314</a>

Result language
angličtina
Original language name
Comparison theorems for self-adjoint linear Hamiltonian eigenvalue problems
Original language description
In this work we derive new comparison results for (finite) eigenvalues of two self-adjoint linear Hamiltonian eigenvalue problems. The coefficient matrices depend on the spectral parameter nonlinearly and the spectral parameter is present also in the boundary conditions. We do not impose any controllability or strict normality assumptions. Our method is based on a generalization of the Sturmian comparison theorem for such systems. The results are new even for the Dirichlet boundary conditions, for linear Hamiltonian systems depending linearly on the spectral parameter, and for Sturm-Liouville eigenvalue problems with nonlinear dependence on the spectral parameter.
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
<a href="/en/project/GAP201%2F10%2F1032" target="_blank" >GAP201/10/1032: Difference equations and dynamic equations on time scales III</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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