Results 31 to 40 of about 129,784 (278)

Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges

open access: yesMATEC Web of Conferences, 2017
The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I.   +2 more
doaj   +1 more source

Nonlinear eigenvalue problems for higher order Lidstone boundary value problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
In this paper, we consider the Lidstone boundary value problem $y^{(2m)}(t) = \lambda a(t)f(y(t), \dots, y^{(2j)}(t), \dots y^{(2(m-1))}(t), 0 < t < 1, y^{(2i)}(0) = 0 = y^{(2i)}(1), i = 0, ..., m - 1$, where $(-1)^m f > 0$ and $a$ is nonnegative. Growth
Paul Eloe
doaj   +1 more source

A Full Multigrid Method for Nonlinear Eigenvalue Problems

open access: yes, 2015
This paper is to introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on ...
Jia, Shanghui   +3 more
core   +1 more source

Schwarz Symmetrization and Comparison Results for Nonlinear Elliptic Equations and Eigenvalue Problems

open access: yes, 2011
We compare the distribution function and the maximum of solutions of nonlinear elliptic equations defined in general domains with solutions of similar problems defined in a ball using Schwarz symmetrization.
Bonorino, Leonardo Prange   +1 more
core   +1 more source

Perturbations of nonlinear eigenvalue problems

open access: yes, 2018
We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes ...
Papageorgiou, Nikolaos S.   +2 more
core   +2 more sources

Poiseuille Flow with Couple Stresses Effect and No-slip Boundary Conditions [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2020
In this paper, the problem of Poiseuille flow with couple stresses effect in a fluid layer using the linear instability and nonlinear stability theories is analyzed.
Akil J. Harfash, Ghazi A. Meften
doaj   +1 more source

A study on anisotropic mesh adaptation for finite element approximation of eigenvalue problems with anisotropic diffusion operators [PDF]

open access: yes, 2014
Anisotropic mesh adaptation is studied for the linear finite element solution of eigenvalue problems with anisotropic diffusion operators. The M-uniform mesh approach is employed with which any nonuniform mesh is characterized mathematically as a uniform
Huang, Weizhang, Wang, Jingyue
core   +1 more source

Oscillatory property of solutions to nonlinear eigenvalue problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the nonlinear eigenvalue problem \begin{equation*} -u''(t) = \lambda \left(u(t) + g(u(t))\right), \quad u(t) > 0, \quad t \in I := (-1,1), \quad u(\pm 1) = 0, \end{equation*} where $g(u) = u^p\sin(u^q)$ ($0 \le p < 1$,
Tetsutaro Shibata
doaj   +1 more source

Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems

open access: yesMathematics, 2023
To solve linear and nonlinear eigenvalue problems, we develop a simple method by directly solving a nonhomogeneous system obtained by supplementing a normalization condition on the eigen-equation for the uniqueness of the eigenvector.
Chein-Shan Liu   +2 more
doaj   +1 more source

Time Dependent Resonance Theory [PDF]

open access: yes, 1998
An important class of resonance problems involves the study of perturbations of systems having embedded eigenvalues in their continuous spectrum. Problems with this mathematical structure arise in the study of many physical systems, e.g.
Soffer, A., Weinstein, M. I.
core   +1 more source

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