Results 21 to 30 of about 871,744 (361)

Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle [PDF]

open access: yes, 2015
We address the question of determining the eigenvalues $\lambda\_n$ (listed in nondecreasing order, with multiplicities) for which Courant's nodal domain theorem is sharp i.e., for which there exists an associated eigenfunction with $n$ nodal domains ...
Bérard, Pierre, Helffer, Bernard
core   +5 more sources

Global bifurcation result and nodal solutions for Kirchhoff-type equation

open access: yesAIMS Mathematics, 2021
We investigate the global structure of nodal solutions for the Kirchhoff-type problem $ \left\{\begin{array}{ll} -(a+b\int_{0}^{1}|u'|^2dx)u'' = \lambda f(u),\ x\in (0,1),\\[2ex] u(0) = u(1) = 0, \end{array} \right. $ where $ a > 0, b > 0
Fumei Ye, Xiaoling Han
doaj   +1 more source

Bicliques and Eigenvalues [PDF]

open access: yesJournal of Combinatorial Theory, Series B, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources

Graphs with many valencies and few eigenvalues [PDF]

open access: yes, 2015
Dom de Caen posed the question whether connected graphs with three distinct eigenvalues have at most three distinct valencies. We do not answer this question, but instead construct connected graphs with four and five distinct eigenvalues and arbitrarily ...
Koolen, Jack H.   +2 more
core   +1 more source

Eigenvaluations

open access: yesAnnales Scientifiques de l’École Normale Supérieure, 2007
48 pages, 2 figures, To appear in Annales de l ...
Favre, Charles, Jonsson, Mattias
openaire   +2 more sources

Adomian decomposition method for solving nonlinear fractional sturm-liouville problem

open access: yesCumhuriyet Science Journal, 2020
In the present paper, the Adomian decomposition method is employed for solving nonlinear fractional Sturm-Liouville equation. The numerical results for the eigenfunctions and the eigenvalues are obtained. Also, the present results are demonstrated by the
Ahu Ercan
doaj   +1 more source

Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]

open access: yesMathematics Interdisciplinary Research, 2021
A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered.
Sertac Goktas, Esengul Biten
doaj   +1 more source

Eigenvalue spectrum for single particle in a spheroidal cavity: A Semiclassical approach [PDF]

open access: yes, 2002
Following the semiclassical formalism of Strutinsky et al., we have obtained the complete eigenvalue spectrum for a particle enclosed in an infinitely high spheroidal cavity.
A. K. JAIN   +6 more
core   +2 more sources

On eigenvalues and main eigenvalues of a graph [PDF]

open access: yesMathematica Moravica, 2000
Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
openaire   +3 more sources

Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]

open access: yesOpuscula Mathematica, 2013
It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
doaj   +1 more source

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