We study a question on stability and instability of the basis property of a system of eigenfunctions of the Sturm - Liouville operator, with an integral perturbation of anti-periodic type on the boundary conditions.
Nurlan S. Imanbaev
doaj
Separation of variables for partial differential equations: an eigenfunction approach
Potential, Heat, and Wave Equations. Basic Approximation Theory. Sturm-Liouville Problems. Fourier Series. Eigenfunction Expansions for Equations in Two Independent Variables. One-Dimensional Diffusion Equation. One-Dimensional Wave Equation.
Cain, George, Meyer, Gunter H
core
Eigenfunction expansion for impulsive singular Hahn–Dirac system [PDF]
In this study, a singular impulsive Hahn–Dirac system is studied. A spectral function has been established for this type of system.
Allahverdiev, Bilender P. +2 more
core
On the Open TS/ST Correspondence. [PDF]
François M, Grassi A.
europepmc +1 more source
Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]
Pastur L, Shamis M.
europepmc +1 more source
Single-Particle Entanglement Dynamics in Complex Systems. [PDF]
Shekhar D, Shukla P.
europepmc +1 more source
Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]
Alrashdi A +4 more
europepmc +1 more source
Electromagnetic Analysis and Experimental Study of Laminated Mn-Zn Toroidal Ferrite Cores for High-Frequency Inductance and Impedance Enhancement. [PDF]
Guan P +5 more
europepmc +1 more source
An Operator Analysis on Stochastic Differential Equation (SDE)-Based Diffusion Generative Models. [PDF]
Wu Y, Kawahara Y.
europepmc +1 more source
On the parity of the number of nodal domains for an eigenfunction of the Laplacian on tori
In this note, we discuss a question posed by T. Hoffmann-Ostenhof (see [3]) concerning the parity of the number of nodal domains for a non-constant eigenfunction of the Laplacian on flat tori. We present two results.
Léna, Corentin
core

