Results 21 to 30 of about 276,787 (219)

Largest eigenvalues of sparse inhomogeneous Erdős–Rényi graphs [PDF]

Annals of Probability, 2017
We consider inhomogeneous Erd\H{o}s-R\'enyi graphs. We suppose that the maximal mean degree $d$ satisfies $d \ll \log n$. We characterize the asymptotic behavior of the $n^{1 - o(1)}$ largest eigenvalues of the adjacency matrix and its centred version ...
Florent Benaych-Georges, C. Bordenave, Antti Knowles   +2 more
semanticscholar   +1 more source

Eigenvaluations

Annales 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

Global bifurcation result and nodal solutions for Kirchhoff-type equation

AIMS 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]

Journal of Combinatorial Theory, Series B, 2001
AbstractA biclique in a graph Γ is a complete bipartite subgraph of Γ. We give bounds for the maximum number of edges in a biclique in terms of the eigenvalues of matrix representations of Γ. These bounds show a strong similarity with Lovász's bound ϑ(Γ) for the Shannon capacity of Γ. Motivated by this similarity we investigate bicliques and the bounds
openaire   +4 more sources

On the asymptotics of spectrum of an even-order differential operator with a delta-function potential

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta-function. One of the types of separated boundary conditions is considered.
Sergei I. Mitrokhin
doaj   +1 more source

Isoperimetric inequalities for -Hessian equations

Advances in Nonlinear Analysis, 2012
We consider the homogeneous Dirichlet problem for a special -Hessian equation of sub-linear type in a -convex domain , . We study the comparison between the solution of this problem and the (radial) solution of the corresponding problem in a ball having ...
Mohammed Ahmed, Porru Giovanni, Safoui Abdessalam   +2 more
doaj   +1 more source

Formulation for an Ogden-type hyperelastic analysis with hyper dual numbers and its performance evaluation

Nihon Kikai Gakkai ronbunshu, 2019
A numerical calculation scheme for stress and its consistent tangent moduli with hyper-dual numbers(HDN) for Ogden-type hyperelastic material model was proposed.
Masaki FUJIKAWA, Masato TANAKA, Yusuke IMOTO, Naoto MITSUME, Takeo URAMOTO, Naoya YAMANAKA   +5 more
doaj   +1 more source

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

Opuscula 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

Oscillation and spectral properties of some classes of higher order differential operators and weighted $n$th order differential inequalities

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its coefficients in a neighborhood of infinity.
Aigerim Kalybay, Ryskul. Oinarov, Yaudat Sultanaev   +2 more
doaj   +1 more source

Eigenvalues for double phase variational integrals [PDF]

, 2015
We study an eigenvalue problem in the framework of double phase variational integrals, and we introduce a sequence of nonlinear eigenvalues by a minimax procedure.
F. Colasuonno, M. Squassina
semanticscholar   +1 more source