Results 101 to 110 of about 15,892 (238)
NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS
Journal of New Theory, 2015 − This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
doaj
Karpatsʹkì Matematičnì Publìkacìï, 2018 We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij +3 more
doaj +1 more source
An Observation on Eigenfunctions of the Laplacian
La MatematicaIn his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω= \{x\in \mathbb R^n\mid |x|>R_0\}$, there exist no nontrivial solution $f$ of the Helmholtz equation $Δf = - λf$, when $λ>0$, such that $\int_Ω |f|^2 dx < \infty$.
Banerjee, Agnid, Garofalo, Nicola
openaire +3 more sources
Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations
Geophysical Research Letters, Volume 53, Issue 10, 28 May 2026.Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal +7 more
wiley +1 more source
Approximate normality of high-energy hyperspherical eigenfunctions
, 2018 The Berry heuristic has been a long standing ansatz about the high energy (i.e. large eigenvalues) behaviour of eigenfunctions (see [7]). Roughly speaking, it states that under some generic boundary conditions, these eigenfunctions exhibit Gaussian ...
Simon Campese +5 more
core +1 more source
Completeness of squared eigenfunctions of the Zakharov-Shabat spectral problem [PDF]
, 2023 The completeness of eigenfunctions for linearized equations is critical for many applications, such as the study of stability of solitary waves. In this thesis, we work with the Nonlinear Schr{\"o}dinger (NLS) equation, associated with the Zakharov ...
Assaubay, Al-Tarazi
core
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем, 2009 A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky +2 more
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Biorthogonality condition for axisymmetric stokes flow in spherical geometries
International Journal of Mathematics and Mathematical Sciences, 2000 We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
doaj
Eigenfunctions with Infinitely Many Isolated Critical Points
, 2019 We construct a Riemannian metric on the 2D torus, such that for infinitely many eigen-values of the Laplace-Beltrami operator, a corresponding eigenfunction has infinitely many isolated critical points.
Logunov, Aleksandr +2 more
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