Results 131 to 140 of about 2,168 (155)

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
openaire   +1 more source

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 ...
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources

ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS

The Quarterly Journal of Mathematics, 1979
Browne, Patrick J., Sleeman, B. D.
openaire   +1 more source

Variational methods for nonlinear multiparameter elliptic eigenvalue problems

Nonlinearity, 1997
Summary: We consider the following nonlinear multiparameter problem \[ u''(r)+ {N-1 \over r} u'(r)+ \sum^n_{k=1} \mu_k u(r)^{p_k} =\lambda u(r ...
openaire   +1 more source

Multiparameter Eigenvalue Problems

2010
F.V. Atkinson, Angelo B. Mingarelli
openaire   +1 more source

A Numerical Technique for Multiparameter Eigenvalue Problems

IMA Journal of Numerical Analysis, 1982
Browne, Patrick J., Sleeman, B. D.
openaire   +1 more source

Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations

Numerical Linear Algebra With Applications, 2022
Koen Ruymbeek, Karl Ay Meerbergen, Wim Michiels   +2 more
exaly