Results 141 to 150 of about 80,061 (162)

Multiparameter Variational Eigenvalue Problems With Indefinite Nonlinearity

Canadian Journal of Mathematics, 1997
AbstractWe consider the multiparameter nonlinear Sturm-Liouville problemwhere are parameters. We assume that1 ≤ q ≤ p1 < p2 < ... ≤ pn < 2q + 3.We shall establish an asymptotic formula of variational eigenvalue λ = λ(μ, α) obtained by using Ljusternik-Schnirelman theory on general level set Nμ, α(α < 0 : parameter of level set ...
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The multiparameter eigenvalue problem: Jordan vector semilattices

Journal of Mathematical Sciences, 1997
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A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem

Linear Algebra and its Applications
We present a novel, global algorithm for solving polynomial multiparameter eigenvalue problems (PMEPs) by leveraging a hidden variable tensor Dixon resultant framework.
Emil Graf, Alex Townsend
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On the Kronecker Structure of linearization of Cubic Two-Parameter Eigenvalue Problems

Malaysian Journal of Science
Linearization is a classical approach to study matrix polynomial of the form P(lambda)=Sum lambdaj Aj, where A j Cnxn . It converts into a matrix pencil of the form L(lambda)=A+lambda B of high dimension, where A and B are matrices over C , and lambda is
Niranjan Bora, Bharati Borgohain
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Eigenvalue problem in multiparameter optimization problems of theoretical physics

Cybernetics and Systems Analysis, 1995
The paper concerns the solving of singular spectral problems for second order differential equations and systems of differential equations with coupled parameters. Numerical results are presented.
Bublik, B. N., Lyashenko, B. N.
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Bifurcation from eigenvalues in nonlinear multiparameter problems

Nonlinear Analysis: Theory, Methods & Applications, 1990
Let \(\Lambda\) be a parameter (Banach) space, \(X_ 1,...,X_ m\), \(Y_ 1,...,Y_ m\) Banach spaces, \(L_ r: \Lambda \to {\mathcal L}(X_ r,Y_ r)\) and \(N_ r: \Lambda \times (X_ 1+X_ 2+...+X_ m)\to Y_ r\) \(C^ k\)-functions. The author studies the structure of the set of nontrivial solutions of the system \[ L_ r(\lambda)x_ r+N_ r(\lambda;x_ 1,...,x_ m ...
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Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems

Computational Mathematics and Mathematical Physics, 2022
Y. Smirnov
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DYNAMIC MODEL UPDATING—A MULTIPARAMETER EIGENVALUE PROBLEM

Mechanical Systems and Signal Processing, 2001
Abstract Analytical models of linear elastomechanical systems are often updated by model parameter estimation using input–output measurements or modal test results. The structure of the model equations and the parametrisation of the spatially discretised model—often a sum of matrices multiplied each by a dimensionless adjustment parameter—are usually
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Aeroelastic flutter as a multiparameter eigenvalue problem

2015
In this thesis we explore the relationship between aeroelastic flutter and multiparameter spectral theory. We first introduce the basic concept of the relationship between these two fields in abstract terms. Then we expand on this initial concept, using it to devise visualisation methods and a wide variety of solvers for flutter problems.
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Local bifurcation theory for multiparameter nonlinear eigenvalue problems

Nonlinear Analysis: Theory, Methods & Applications, 2002
The multiparameter bifurcation problem for \(\lambda=(\lambda_1,\cdots,\lambda_p)\in \mathbb R^p\) given by \[ F(\lambda,x)\equiv Bx-\sum_{i=1}^{p} \lambda_i Ax+N(\lambda,x)=0, \quad N(\lambda,0)=0, \quad D_x N(\lambda,0)=0, \] is considered in real Banach spaces \(X,Y\). In the case that \(\dim N(D_xF(\lambda^0,0))=n\geq 1\) and \(\text{codim}\,R(D_xF(
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