Results 71 to 80 of about 140 (101)
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Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics

Journal of Mathematical Sciences, 2022
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Valovik, D. V., Kurseeva, V. Yu.
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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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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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Numerical Solution of Multiparameter Eigenvalue Problems

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1982
AbstractIn this paper we describe an algorithm for the computation of eigenvalue curves and corresponding eigenvectors of multiparameter eigenvalue problems. After input of an algebraic simple eigenvalue with eigenvector we use continuation methods to compute the eigenvalue curve starting from the given eigenvalue.
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Nonlinear multiparameter eigenvalue problems: Linearised and nonlinearised solutions

Journal of Differential Equations, 2019
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V.Yu. Kurseeva   +2 more
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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 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} $...
Binding, Paul, Browne, Patrick J.
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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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On regularization in multiparameter eigenvalue problems

Differential Equations, 2011
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