Eigenvalue Problem
Some results on the eigenvalue problem for a fractional elliptic equation
... of eigenvalue problems is a classical topic and there are lots of results on local eigenvalue problems (see, for instance, [11–14] and the references ...of eigenvalue problems involving fractional ...
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Adaptive Morley element algorithms for the biharmonic eigenvalue problem
... This paper is devoted to the adaptive Morley element algorithms for a biharmonic eigenvalue problem in R n (n ≥ 2). We combine the Morley element method with the shifted-inverse iteration including Rayleigh ...
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The eigenvalue problem for the p Laplacian like equations
... the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du| p )|Du| p−2 Du) = λf (x,u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R n is a bounded smooth ...
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A spectral method for the eigenvalue problem for elliptic equations
... Abstract. Let Ω be an open, simply connected, and bounded region in R d , d ≥ 2, and assume its boundary ∂Ω is smooth. Consider solving the eigenvalue problem Lu = λu for an elliptic partial differential ...
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Integrability of the Reduction Fourth-Order Eigenvalue Problem
... fourth-order eigenvalue problem, the Bargmann constraint of this problem has been given, and the associated Lax pairs have been ...this eigenvalue problem has been obtained on the ...
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Eigenfunction expansion for a regular fourth order eigenvalue problem with eigenvalue parameter in the boundry conditions
... EIGENFUNCTION EXPANSION FOR A REGULAR FOURTH ORDER EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITIONS.. ZAYED Department of Mathematics Faculty of Science Zagazlg Un[r] ...
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Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices
... inverse eigenvalue problem (IEP) involves the re- construction of a matrix from prescribed spectral ...inverse eigenvalue problem (NIEP) is a special case of the IEP first posed by Kolmogorov ...
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Computing Dark Energy and Ordinary Energy of the Cosmos as a Double Eigenvalue Problem
... In the present paper the problem was also nonconstructively solved as a double Eigenvalue problem using the comparison theorems of Southwell and Dunkerley. In addition, we validated the results via ...
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Inverse eigenvalue problem for matrices whose graph is a banana tree
... The problem IEPB(c,s) is important in the sense that it partially describes inverse eigenvalue problem while it constructs matrices from partial information of prescribed ...
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Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations
... RESEARCH Open Access Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations Xiaoling Han* and Hongliang Gao * Correspondence hanxiaoling@nwnu edu cn Depa[.] ...
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Bargmann and Neumann System of the Second- Order Matrix Eigenvalue Problem
... The results of this paper have been algebraic in nature. We have considered the second order matrix eigenvalue problem (1). In the first part of section 2, we gave Lax representation and evolution equation ...
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Explicit solution for an infinite dimensional generalized inverse eigenvalue problem
... inverse eigenvalue problem (GIEP), Ax = λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries c i > 0, and B = diag(b 0 , b 1 , ...
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Indefinite eigenvalue problem with eigenparameter in the two boundary conditions
... The object of this paper is to establish an expansion theorem for a regular indefinite eigenvalue problem of second order differential equation with an eigenvalue parameter ,k in the two[r] ...
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A finite dimensional integrable system associated with a polynomial eigenvalue problem
... We have already obtained the integrable Hamiltonian systems associated with Harry- Dym and coupled Harry-Dym equations [13]. For general positive integer n, the associ- ated integrable system is given in this paper. In ...
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Eigenvalue problem of Hamiltonian operator matrices
... In this note, for the Hamiltonian operator matrix H, defined in (.), with at least one invertible off-diagonal entry, we consider its eigenvalue problem including the ascent, the algebraic multiplicity and ...
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Aeroelastic flutter as a multiparameter eigenvalue problem
... We have thus far considered methods based on first-order approximations of the unstructured multiparameter eigenvalue problem. Following the same line of reasoning as we pursued in Chapter 5, we might wish ...
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An extremal eigenvalue problem in Kähler geometry
... 1.2. Eigenvalue problems on K ¨ahler ...extremal eigenvalue problem in higher dimensions on a K¨ahler manifold (M, J, g, ω), which generalizes the above extremal problem on Riemannian ...the ...
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Row stochastic inverse eigenvalue problem
... inverse eigenvalue problem is the problem of characterizing all possible spectrum of row stochastic ...inverse eigenvalue problems should be interest- ...inverse eigenvalue ...
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Symmetric stochastic inverse eigenvalue problem
... inverse eigenvalue problem to have a solution and sufficient conditions for the symmetric stochastic inverse eigenvalue problem to have a ...inverse eigenvalue problem and the ...
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Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval
... We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit ...
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