Results 21 to 30 of about 871,744 (361)
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle [PDF]
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
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Global bifurcation result and nodal solutions for Kirchhoff-type equation
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
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Bicliques and Eigenvalues [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Graphs with many valencies and few eigenvalues [PDF]
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
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48 pages, 2 figures, To appear in Annales de l ...
Favre, Charles, Jonsson, Mattias
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Adomian decomposition method for solving nonlinear fractional sturm-liouville problem
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
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Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters [PDF]
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
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Eigenvalue spectrum for single particle in a spheroidal cavity: A Semiclassical approach [PDF]
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
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On eigenvalues and main eigenvalues of a graph [PDF]
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)
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Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
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
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