Results 81 to 90 of about 140 (101)

Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications, 2018
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Ghosh, Arnab, Alam, Rafikul
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Non-standard oscillation theory for multiparameter eigenvalue problems

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012
An eigenvalue problem for k Sturm–Liouville equations coupled by k parameters λ1,…,λk is considered. In contrast to the standard case, for each r, the second-order derivative in the rth equation is multiplied by λr. This problem presents various interesting features.
P. A. Binding, H. Volkmer
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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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Numerical methods for solving multiparameter eigenvalue problems

International Journal of Computer Mathematics, 1999
This paper is concerned with the numerical solution of multiparameter eigenvalue problems for matrices which arise in discretization of multiparameter Sturm-Liouville eigenvalue problems in ordinary differential equations. Based on the trace theorem and the differentiability theory of QR decomposition two new algorithms are proposed.
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10.—An Abstract Relation for Multiparameter Eigenvalue Problems

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1976
SynopsisConsider the multiparameter systemwhere ut is an element of a separable Hilbert space Hi, i = 1, …, n. The operators Sij are assumed to be bounded symmetric operators in Hi and Ai is assumed self-adjoint. In addition consider the operator equationwhere B is densely defined and closed in a separable Hilbert space H and Tj, j = 1, …, n is a ...
A. Källström, B. D. Sleeman
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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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ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS

The Quarterly Journal of Mathematics, 1979
Browne, Patrick J., Sleeman, B. D.
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Nonlinear multiparameter eigenvalue problems on general level sets

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers the following nonlinear multiparameter problem \[ u''(x)+ \sum^n_{k=1} \mu_kf_k \bigl(u(x)\bigr) =\lambda g\bigl(u(x) \bigr),\;u(x)>0,\;x\in I=(0,1) \tag{1} \] \[ u(0)= u(1)=0, \] where \(\mu= (\mu_1,\mu_2, \dots, \mu_n) \in \mathbb{R}^n_+\) \((\mathbb{R}_+: =(0, \infty))\), \(\lambda\in \mathbb{R}_+\) are parameters.
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