Results 51 to 60 of about 159,057 (193)
A light-front coupled cluster method
, 2011 A new method for the nonperturbative solution of quantum field theories is described. The method adapts the exponential-operator technique of the standard many-body coupled-cluster method to the Fock-space eigenvalue problem for light-front Hamiltonians.
A.H. Rezaeian +29 more
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Eigenvalue problem for nonlinear elastic beam equation of fractional order
Nonlinear Analysis, 2017 In this study, under some suitable assumptions, we determine an explicit eigenvalue interval for the existence of positive solution of singular fractional-order nonlinear elastic beam equation with bending term.
Neda Khodabakhshi, S. Mansour Vaezpour
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Nonlinear eigenvalue problem for optimal resonances in optical cavities
, 2012 The paper is devoted to optimization of resonances in a 1-D open optical cavity. The cavity's structure is represented by its dielectric permittivity function e(s). It is assumed that e(s) takes values in the range 1
Akahane +24 more
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Boundary Value Problems, 2019 In this paper, we focus on a generalized singular fractional order Kelvin–Voigt model with a nonlinear operator. By using analytic techniques, the uniqueness of solution and an iterative scheme converging to the unique solution are established, which are
Jianxin He +4 more
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Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods [PDF]
GAMM-Mitteilungen, 2004 AbstractWe discuss the state of the art in numerical solution methods for large scale polynomial or rational eigenvalue problems. We present the currently available solution methods such as the Jacobi‐Davidson, Arnoldi or the rational Krylov method and analyze their properties.
Mehrmann, Volker, Voss, Heinrich
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NON LINEAR EIGENVALUE PROBLEMS
Matemática Contemporânea, 2004 In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates for models coming from analytic theory of smoothness for P.D.E.
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Variational calculation of the period of nonlinear oscillators
, 2004 The problem of calculating the period of second order nonlinear autonomous oscillators is formulated as an eigenvalue problem. We show that the period can be obtained from two integral variational principles dual to each other.
Benguria, R. D., Depassier, M. C.
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Spectrum of one dimensional p-Laplacian operator with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2002 This paper is concerned with the nonlinear boundary eigenvalue problem $$-(|u'|^{p-2}u')'=\lambda m|u|^{p-2}u\qquad u \in I=]a,b[,\quad u(a)=u(b)=0,$$ where $p>1$, $\lambda$ is a real parameter, $m$ is an indefinite weight, and $a$, $b$ are real numbers.
Mohammed Moussa, A. Anane, Omar Chakrone
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, 2013 This works deals with one dimensional infinite perturbation - namely line defects - in periodic media. In optics, such defects are created to construct an (open) waveguide that concentrates light.
Fliss, Sonia
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Bounds and optimization of the minimum eigenvalue for a vibrating system
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider the problem of the oscillation of a string fixed at one end with a mass connected to a spring at the other end. The problem of minimizing the first eigenvalue of the system subject to a fixed total mass constraint is investigated.
Don Hinton, Maeve McCarthy
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