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On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation [PDF]
Abstract and Applied Analysis, 2011 This paper is devoted to the analysis of the travelling waves for a class of generalized nonlinear Schrödinger equations in a cylindric domain. Searching for travelling waves reduces the problem to the multiparameter eigenvalue problems for a class of ...
Mahir Hasanov
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Shapley–Snow Kernels, Multiparameter Eigenvalue Problems, and Stochastic Games [PDF]
Mathematics of Operations Research, 2021 We propose a connection between finite zero-sum stochastic games (henceforth stochastic games) and multiparameter eigenvalue problems. This connection, which relies on the theory developed by Shapley and Snow for matrix games, opens new possibilities in the study of stochastic games.
Luc Attia, Miquel Oliu-Barton
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Multiparameter Eigenvalue Problems and Shift-invariance
IFAC-PapersOnLine, 2021 sponsorship: This work was supported by (1) KU Leuven: Research Fund (projects C16/15/059, C3/19/053, C24/18/022, C3/20/117), Industrial Research Fund (Fellowships 13-0260, IOF/16/004) and several Leuven Research and Development bilateral industrial projects; (2) Flemish Government Agencies: (a) FWO: EOS Project G0F6718N (SeLMA), SBO project S005319N ...
De Cock, Katrien, De Moor, Bart
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Elliptic multiparameter eigenvalue problems [PDF]
Proceedings of the Edinburgh Mathematical Society, 1987 We study the eigenproblemwhereand Tm, Vmn are self-adjoint operators on separable Hilbert spaces Hm. We assume the Tm to be bounded below with compact resolvents, and the Vmn to be bounded and to satisfy an “ellipticity” condition. If k = 1 then ellipticity is automatic, and if each Tm is positive definite then the problem is “left definite”.
Binding, P. A., Seddighi, K.
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Inverse multiparameter eigenvalue problems for matrices III [PDF]
Proceedings of the Edinburgh Mathematical Society, 1986 This note will complement and, in a certain sense, complete our earlier studies [3, 4] of the theory of inverse multiparameter eigenvalue problems for matrices. In those papers, we considered the so called “additive inverse problem” which, briefly stated for the 2-parameter case, asks for conditions on given n × n matrices A, B, C and on given points ...
Browne, Patrick J., Sleeman, B. D.
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Roots of bivariate polynomial systems via determinantal representations [PDF]
, 2015 We give two determinantal representations for a bivariate polynomial. They may be used to compute the zeros of a system of two of these polynomials via the eigenvalues of a two-parameter eigenvalue problem.
Hochstenbach, Michiel E. +1 more
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Left Definite Multiparameter Eigenvalue Problems [PDF]
Transactions of the American Mathematical Society, 1982 We study the problem \[ ( ∗ ) T m x m = ∑ n = 1 k λ n
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A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
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Applications of Multiparameter Eigenvalue Problems
Nepal Journal of Science and Technology, 2021 It was mainly due to Atkinson works, who introduced Linear Multiparameter Eigenvalue problems (LMEPs), based on determinantal operators on the Tensor Product Space. Later, in the area of Multiparameter eigenvalue problems has received attention from the Mathematicians in the recent years also, who pointed out that there exist a variety of mixed ...
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Fiber product homotopy method for multiparameter eigenvalue problems [PDF]
Numerische Mathematik, 2021 We develop a new homotopy method for solving multiparameter eigenvalue problems (MEPs) called the fiber product homotopy method. For a $k$-parameter eigenvalue problem with matrices of sizes $n_1,\dots ,n_k = O(n)$, fiber product homotopy method requires deformation of $O(1)$ linear equations, while existing homotopy methods for MEPs require $O(n ...
Rodriguez, Jose Israel +3 more
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