The qualitative Sturm-Liouville theory on spatial networks
From MaRDI portal
Publication:1780358
DOI10.1023/B:JOTH.0000012756.25200.56zbMath1088.34020OpenAlexW2006304239MaRDI QIDQ1780358
V. L. Pryadiev, Yu. V. Pokornyj
Publication date: 7 June 2005
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:joth.0000012756.25200.56
Green's functionnonoscillationSturm comparison theoremKirchhoff's lawa graph of solutionsVallée-Poussin theorem
Sturm-Liouville theory (34B24) Monotone systems involving ordinary differential equations (34C12) Boundary value problems on graphs and networks for ordinary differential equations (34B45)
Related Items (22)
Inverse problems for the differential operator on a graph with cycles ⋮ Inverse Sturm-Liouville spectral problem on symmetric star-tree ⋮ Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem ⋮ On recovering Sturm-Liouville operators on graphs ⋮ Inverse problems for differential pencils on A-graphs ⋮ An inverse spectral problem for the Sturm-Liouville operator on a three-star graph ⋮ Inverse problems on star-type graphs: differential operators of different orders on different edges ⋮ Asymptotic stability and Riesz basis property for tree-shaped network of strings ⋮ Inverse problem for Sturm-Liouville operators on hedgehog-type graphs ⋮ Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Recovering differential pencils on compact graphs ⋮ A lower bound for nodal count on discrete and metric graphs ⋮ Inverse Sturm–Liouville problem on equilateral regular tree ⋮ Population persistence under advection-diffusion in river networks ⋮ Inverse problems for differential operators on trees with general matching conditions ⋮ Self-adjoint Sturm-Liouville problems with an infinite number of boundary conditions ⋮ Inverse problems for differential operators of variable orders on star-type graphs: general case ⋮ An inverse problem for Sturm-Liouville differential operators on A-graphs ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Inverse Problem for Differential Operators on Spatial Networks with Different Orders on Different Edges ⋮ Inverse spectral problems for differential operators on arbitrary compact graphs
This page was built for publication: The qualitative Sturm-Liouville theory on spatial networks