Results 31 to 40 of about 129,784 (278)
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
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Nonlinear eigenvalue problems for higher order Lidstone boundary value problems
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
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A Full Multigrid Method for Nonlinear Eigenvalue Problems
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
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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
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Perturbations of nonlinear eigenvalue problems
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
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Poiseuille Flow with Couple Stresses Effect and No-slip Boundary Conditions [PDF]
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
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A study on anisotropic mesh adaptation for finite element approximation of eigenvalue problems with anisotropic diffusion operators [PDF]
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
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Oscillatory property of solutions to nonlinear eigenvalue problems
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
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Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
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
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Time Dependent Resonance Theory [PDF]
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.
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