نتایج جستجو برای: eigenvalue equations

تعداد نتایج: 254318  

Journal: :Journal of Mathematical Analysis and Applications 2008

Journal: :Transactions of the American Mathematical Society 1965

Journal: :Journal of Mathematical Analysis and Applications 1967

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1988

2003
Martin Bohner Roman Hilscher

In this paper we consider eigenvalue problems on time scales involving linear Hamiltonian dynamic systems. We give conditions that ensure that the eigenvalues of the problem are isolated and bounded below. The presented results are applicable also to Sturm–Liouville dynamic equations of higher order, and further special cases of our systems are linear Hamiltonian differential systems as well as...

Journal: :Numerische Mathematik 2013
Pedro Gajardo Alberto Seeger

We compare various algorithms for constructing a matrix of order n whose Pareto spectrum contains a prescribed set Λ = {λ1, . . . , λp} of reals. In order to avoid overdetermination one assumes that p does not exceed n2. The inverse Pareto eigenvalue problem under consideration is formulated as an underdetermined system of nonlinear equations. We also address the issue of computing Lorentz spec...

1996
J. P. QUADRAT

We revisit some results obtained recently in min-plus algebra following the ideas of statistical mechanics. Computation of geodesics in a graph can be done by min-plus matrix products. A min-plus matrix is seen as a kind of finite states mechanical system. The energy of this system is the eigenvalue of its min-plus matrix. The graph interpretation of the eigenvalue may be seen as a kind of Mari...

2011
JAMES P. KELLIHER

We show that the k-th eigenvalue of the Dirichlet Laplacian is strictly less than the k-th eigenvalue of the classical Stokes operator (equivalently, of the clamped buckling plate problem) for a bounded domain in the plane having a locally Lipschitz boundary. For a C boundary, we show that eigenvalues of the Stokes operator with Navier slip (friction) boundary conditions interpolate continuousl...

This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined members by differential transform method. Based on four differential equations and sixteen boundary and compatibility conditions, the related structural eigenvalue problem will be analytically formulated. The frequency parameters and mode shapes of the frame will be calculated for various values...

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