Results 31 to 40 of about 159,057 (193)
Axioms, 2021 The paper investigates an algorithm for the numerical solution of a parametric eigenvalue problem for the Helmholtz equation on the plane specially tailored for the accurate mathematical modeling of lasing modes of microring lasers.
Alexander O. Spiridonov +4 more
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Numerical Analysis of Nonlinear Eigenvalue Problems [PDF]
Journal of Scientific Computing, 2010 We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form $-{div} (A\nabla u) + Vu + f(u^2) u = u$, $\|u\|_{L^2}=1$. We focus in particular on the Fourier spectral approximation (for periodic problems) and on the $ _1$ and $ _2$ finite ...
Cancès, Eric +2 more
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A spectral projection method for transmission eigenvalues
, 2016 In this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory.
Sun, Jiguang, Xu, Liwei, Zeng, Fang
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Relation of deformed nonlinear algebras with linear ones
, 2013 The relation between nonlinear algebras and linear ones is established. For one-dimensional nonlinear deformed Heisenberg algebra with two operators we find the function of deformation for which this nonlinear algebra can be transformed to a linear one ...
Nowicki, A., Tkachuk, V. M.
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A global bifurcation result of a Neumann problem with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2004 This paper is concerned with the bifurcation result of nonlinear Neumann problem \begin{equation} \left\{\begin{array}{lll} -\Delta_p u=& \lambda m(x)|u|^{p-2}u + f(\lambda,x,u)& \mbox{in} \ \Omega\\ \frac{\partial u}{\partial \nu}\hspace{0.55cm}= & 0 &
Abdelouahed El Khalil, M. Ouanan
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A Semismooth Newton Method for Tensor Eigenvalue Complementarity Problem
, 2015 In this paper, we consider the tensor eigenvalue complementarity problem which is closely related to the optimality conditions for polynomial optimization, as well as a class of differential inclusions with nonconvex processes.
Chen, Zhongming, Qi, Liqun
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Journal of Inequalities and Applications, 2016 Some sufficient conditions are proposed in this paper such that the nonlinear eigenvalue problem with an irreducible singular M-matrix has a unique positive eigenvector.
Cheng-yi Zhang +2 more
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Four conjectures in Nonlinear Analysis
, 2017 In this chapter, I formulate four challenging conjectures in Nonlinear Analysis. More precisely: a conjecture on the Monge-Amp\`ere equation; a conjecture on an eigenvalue problem; a conjecture on a non-local problem; a conjecture on disconnectedness ...
A. Bahri +25 more
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Positive Solutions for Nonlinear q-Fractional Difference Eigenvalue Problem with Nonlocal Conditions
Abstract and Applied Analysis, 2015 The problem of positive solutions for nonlinear q-fractional difference eigenvalue problem with nonlocal boundary conditions is investigated. Based on the fixed point index theory in cones, sufficient existence of positive solutions conditions is derived
Wafa Shammakh, Maryam Al-Yami
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What Do You Mean by “Nonlinear Eigenvalue Problems”?
Axioms, 2018 A nonlinear eigenvalue problem is generally described by an equation of the form F(λ,x)=0, where F(λ,0)=0 for all λ, and contains by definition two unknowns: the eigenvalue parameter λ and the “nontrivial” vector(s)
Raffaele Chiappinelli
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