Results 61 to 70 of about 17,929 (170)
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем, 2009 A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky +2 more
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Boundary problem for the singular heat equation
Karpatsʹkì Matematičnì Publìkacìï, 2017 The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation \[a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x}\right)\] with coefficient $a(x ...
O.V. Makhnei
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Doubling property and vanishing order of Steklov eigenfunctions [PDF]
arXiv, 2014 The paper is concerned with the doubling estimates and vanishing order of the Steklov eigenfunction on the boundary of a smooth boundary domain $\mathbb R^n$. The eigenfunction is given by a Dirichlet-to-Neumann map. We improve the doubling property shown by Lin and Bellova \cite{BL}.
arxiv
On the completeness of a pair of biorthogonally conjugated systems of functions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we studied the spectral problem for an ordinary second order differential equation on a finite interval with a discontinuous coefficient of the highest derivative. At the ends of the segment the boundary conditions of the first kind are given.
Alfira A Gimaltdinova, Ksenija V Kurman
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A lower bound for the nodal sets of Steklov eigenfunctions [PDF]
arXiv, 2014 We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set. Assume that zero is a regular value of Steklov eigenfunctions.
arxiv
Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
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Reconstruction of Eigenfunctions of q-ary n-dimensional Hypercube [PDF]
arXiv, 2014 Under study are eigenfunctions of $q$-ary $n$-dimensional hypercube. Given all values of an eigenfunction in the sphere we develop methods to reconstruct the function in full or in part. First, we obtain that all values of the function in the corresponding ball are uniquely determined under some supplementary conditions.
arxiv
EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II [PDF]
, 1956 Felix E. Browder
openalex +1 more source
Oscillation theory for a pair of second order dynamic equations with a singular interface
Electronic Journal of Differential Equations, 2008 In this paper we consider a pair of second order dynamic equations defined on the time scale $I = [a,c]cup [sigma(c),b]$. We impose matching interface conditions at the singular interface $c$.
Pallav Kumar Baruah +1 more
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