Results 131 to 140 of about 80,061 (162)

On regularization in multiparameter eigenvalue problems

Differential Equations, 2011
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D. Rakhimov
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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.
H. Dai
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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. Binding, H. Volkmer
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A Variational Approach to Multiparameter Eigenvalue Problems for Matrices

SIAM Journal on Mathematical Analysis, 1977
The variational theory of eigenvalues and eigenvectors is extended to the multiparameter problem $(T_r + \sum_{s = 1}^k {\lambda _s V_{rs} } )x_r = 0$, $r = 1, \cdots ,k$ where $T_r $ and $V_{rs} $...
P. Binding, P. Browne
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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. Sleeman
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Multiparameter Eigenvalue Problems: Sturm-Liouville Theory

, 2010
F. Atkinson, A. Mingarelli
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A Numerical Technique for Multiparameter Eigenvalue Problems

IMA Journal of Numerical Analysis, 1982
P. Browne, B. Sleeman
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NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS

Quaestiones Mathematicae, 1981
ABSTRACT In some recent papers [1, 3, 4] we discussed non-linear multiparameter systems of second order ordinary differential equations and paid particular attention to the phenomenon of bifurcation from eigenvalues. Here we present results to cover the abstract case in which our problems are posed in the language of operator theory.
Patrick J Browne, B D Sleeman
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Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems

Journal of Sound and Vibration
We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media.
H. Gravenkamp, Bor Plestenjak, Daniel A. Kiefer, E. Jarlebring   +3 more
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Computations of Holomorphic Multiparameter Eigenvalue Problems

SIAM Journal on Numerical Analysis, 1984
The paper concerns multiparameter eigenvalue problems (1) \(A(\lambda,\nu,\mu)u=0\), \(\lambda\),\(\nu\in C\), \(\mu \in C^ m\), \(m\in N\), when A(\(\lambda\),\(\nu\),\(\mu)\) is a linear Fredholm operator with index 0 between Banach spaces E, F which is bounded, holomorphic on a region \(g\subset C^{m+2}\). The isolated eigenvalues \(\lambda =\lambda
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