Some problems of the qualitative Sturm-Liouville theory on a spatial network

DOI10.1070/RM2004v059n03ABEH000738zbMath1074.34031OpenAlexW1998657447MaRDI QIDQ4677460

V. L. Pryadiev, Yu. V. Pokornyj

Publication date: 20 May 2005

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2004v059n03abeh000738

zbMATH Keywords

nonoscillationroot subspaceWeyl solutionbranching argumentSturm theorem on alternation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05)

Related Items (13)

The deformations problem for the Stieltjes strings system with a nonlinear condition ⋮ Description of solutions to the initial-boundary-value problem for a wave equation on a one-dimensional spatial network in terms of the Green function of the corresponding boundary-value problem for an ordinary differential equation ⋮ Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions ⋮ Boundary value problem on a geometric star-graph with a nonlinear condition at a node ⋮ Traveling wave method ⋮ Spectral properties of a fourth‐order differential operator on a network ⋮ Dynamics of nodal points and the nodal count on a family of quantum graphs ⋮ Edge-localized states on quantum graphs in the limit of large mass ⋮ Localization and landscape functions on quantum graphs ⋮ Nonlinear Schrödinger equation with growing potential on infinite metric graphs ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator ⋮ Spectral analysis of the matrix Sturm-Liouville operator ⋮ The qualitative theory of fourth-order differential equations on a graph

This page was built for publication: Some problems of the qualitative Sturm-Liouville theory on a spatial network