Results 21 to 30 of about 159,057 (193)
Finite element method for a nonlinear problem
Computer Assisted Methods in Engineering and Science, 2023 We consider the nonlinear eigenvalue problem of a nonlinear partial differential equation under Dirichlet boundary condition in a two-dimensional space. The classical solutions are given for rectangular domains.
Gabriella Bognar
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Nonlinear nonhomogeneous Neumann eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Summary: We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is \((p-1)\)-superlinear near \(\pm\infty\) and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal.
Candito, Pasquale +2 more
openaire +4 more sources
A Full Multigrid Method for Nonlinear Eigenvalue Problems
, 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
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Pattern selection as a nonlinear eigenvalue problem
, 1996 A unique pattern selection in the absolutely unstable regime of driven, nonlinear, open-flow systems is reviewed. It has recently been found in numerical simulations of propagating vortex structures occuring in Taylor-Couette and Rayleigh-Benard systems ...
A. Bers +41 more
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On the existence of equilibrium states of an elastic beam on a nonlinear foundation
International Journal of Mathematics and Mathematical Sciences, 1993 This paper concerns the existence and uniqueness of equilibrium states of a beam-column with hinged ends which is acted upon by axial compression and lateral forces and is in contact with a semi-infinite medium acting as a foundation.
M. B. M. Elgindi, D. H. Y. Yen
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An integral method for solving nonlinear eigenvalue problems
, 2010 We propose a numerical method for computing all eigenvalues (and the corresponding eigenvectors) of a nonlinear holomorphic eigenvalue problem that lie within a given contour in the complex plane.
A. Jentzen +32 more
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On a New Characterization of Some Class Nonlinear Eigenvalue Problem
Advances in Mathematical Physics, 2019 A normal mode analysis of a vibrating mechanical or electrical system gives rise to an eigenvalue problem. Faber made a fairly complete study of the existence and asymptotic behavior of eigenvalues and eigenfunctions, Green’s function, and expansion ...
Lutfi Akin
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Phase Space Derivation of a Variational Principle for One Dimensional Hamiltonian Systems
, 1997 We consider the bifurcation problem u'' + \lambda u = N(u) with two point boundary conditions where N(u) is a general nonlinear term which may also depend on the eigenvalue \lambda.
Benguria +7 more
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Recursive integral method for transmission eigenvalues
, 2015 Recently, a new eigenvalue problem, called the transmission eigenvalue problem, has attracted many researchers. The problem arose in inverse scattering theory for inhomogeneous media and has important applications in a variety of inverse problems for ...
Huang, Ruihao +3 more
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Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
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