A Sturm–Liouville theorem for quadratic operator pencils

Autor:	Alim Sukhtayev, Kevin Zumbrun
Rok vydání:	2020
Předmět:	Pure mathematics Real roots Applied Mathematics 010102 general mathematics Scalar (mathematics) MathematicsofComputing_NUMERICALANALYSIS Sturm–Liouville theory Mathematics::Spectral Theory Quadratic operator 01 natural sciences 010101 applied mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0101 mathematics ComputingMilieux_MISCELLANEOUS Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Journal of Differential Equations. 268:3848-3879
ISSN:	0022-0396
DOI:	10.1016/j.jde.2019.10.010
Popis:	We establish a Sturm–Liouville theorem for quadratic operator pencils with matrix-valued potentials counting their unstable real roots, with applications to stability of waves. Such pencils arise, for example, in reduction of eigenvalue systems to higher-order scalar problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3750bf32a34501c9f48054a7d6c0524d https://doi.org/10.1016/j.jde.2019.10.010 Zobrazit plný text záznamu Full Text from ScienceDirect