Spectral and oscillation theory for general second order Sturm-Liouville difference equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00073382" target="_blank" >RIV/00216224:14310/12:00073382 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1186/1687-1847-2012-82" target="_blank" >http://dx.doi.org/10.1186/1687-1847-2012-82</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-1847-2012-82" target="_blank" >10.1186/1687-1847-2012-82</a>

Result language
angličtina
Original language name
Spectral and oscillation theory for general second order Sturm-Liouville difference equations
Original language description
In this paper we establish an oscillation theorem for second order Sturm-Liouville difference equations with general nonlinear dependence on the spectral parameter lambda. This nonlinear dependence on lambda is allowed both in the leading coefficient andin the potential. We extend the traditional notions of eigenvalues and eigenfunctions to this more general setting. Our main result generalizes the recently obtained oscillation theorem for second order Sturm-Liouville difference equations, in which theleading coefficient is constant in lambda. Problems with Dirichlet boundary conditions as well as with variable endpoints are considered.
Czech name
—
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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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