Results 11 to 20 of about 140 (101)
On the Travelling Waves for the Generalized Nonlinear Schrödinger Equation
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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Simple eigenvalues and bifurcation for a multiparameter problem [PDF]
We are concerned with the problem of bifurcation of solutions of a non-linear multiparameter problem at a simple eigenvalue of the linearised problem.Let X and Y be real Banach spaces, and let A, Bi, i = 1, …, n∈B(X, Y). Let : Rn × X → Y be a non-linear mapping. We consider the equationwhereand λ=(λ1, λ2,…,λn) ∈ Rn is an n-tuple of spectral parameters.
McGhee, D. F., Sallam, M. H.
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Perturbation theory of multiparameter eigenvalue problems
Let \(T_ r\) and \(V_{rs}\) be linear selfadjoint operators in Hilbert spaces \({\mathfrak H}_ r\). Let \(\lambda_ s\) be complex parameters. Then it is considered the multiparameter system \[ (T_ r+\sum^{k}_{s=1}\lambda_ sV_{rs})u_ r=0,\quad r=1,...,k. \] The main objective is to study the influence of perturbations for the operators \(T_ r\).
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Commuting matrices and multiparameter eigenvalue problems
Bibliography: p. 164-179.
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Information geometry for multiparameter models: new perspectives on the origin of simplicity. [PDF]
Quinn KN +4 more
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Constructive solutions for nonlinear multiparameter eigenvalue problems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract oscillation theorems for multiparameter eigenvalue problems
AbstractWe prove abstract analogous of Klein's oscillation theorem by demonstrating the existence (and in some cases uniqueness) of eigenpairs with a given index for the multiparameter problem Tmxm = ∑n = 1k λnVmnxm, 0 ≠ xm ϵ Hm, m = 1 … k. (∗) Here Tm and Vmn are self-adjoint operators on Hilbert spaces Hm. The index is based on the number of negative
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Dual variational approaches to multiparameter eigenvalue problems
AbstractWe study the abstract multiparameter problem Tmxm = ∑kn=1 λn Vmnxm, 0 ≠ xm ϵ Hm, m = 1,…, k, for selfadjoint operators Tm and Vmn on separable Hilbert spaces Hm. We develop dual variational approaches related to the polar duality between certain convex sets. The “primal” approach has been the basis of several investigations, particularly in the
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Temporal teleportation with pseudo-density operators: How dynamics emerges from temporal entanglement. [PDF]
Marletto C +7 more
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