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Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valovik, D. V., Kurseeva, V. Yu.
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Multiparameter eigenvalue problems for bounded operators
Lecture Notes in Mathematics, 1988openaire +3 more sources
NON-LINEAR MULTIPARAMETER EIGENVALUE PROBLEMS
Quaestiones Mathematicae, 1981ABSTRACT 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, 1984The 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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Multiparameter eigenvalue problems for hermitian matrices
Lecture Notes in Mathematics, 1988openaire +3 more sources
Multiparameter Variational Eigenvalue Problems With Indefinite Nonlinearity
Canadian Journal of Mathematics, 1997AbstractWe 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, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Variational Approach to Multiparameter Eigenvalue Problems for Matrices
SIAM Journal on Mathematical Analysis, 1977The 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, 1995The 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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