Results 111 to 120 of about 17,955 (266)
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
Real‐time Nonlinear Model Predictive Control of a Robotic Arm Using Spatial Operator Algebra Theory
Journal of Field Robotics, EarlyView.ABSTRACT Nonlinear model predictive control (NMPC) has inherent challenges, such as high computational burden, nonconvex optimization, and the necessity of powerful and fast processors with large memory for real‐time robotics. In this study, a new NMPC strategy is proposed using Spatial Operator Algebra (SOA) theory to address these challenges, and ...
Tuğçe Yaren, Selçuk Kizir
wiley +1 more source
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
doaj +1 more source
Computational Approaches for Designing Heterostructured Electrocatalysts
Small Science, EarlyView.This review systematically explores computational approaches for modeling and analyzing heterostructures. From a computational materials science perspective, it provides insights into determining heterostructure design types, optimizing lattice strain, and analyzing structural and electronic properties through case studies.
Miyeon Kim, Kyu In Shim, Jeong Woo Han
wiley +1 more source
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
doaj
EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. II [PDF]
, 1956 Felix E. Browder
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Mathematische Zeitschrift, 1988 where we assume that V(x) satisfies Assumptions I and II of Part I, namely V(x) is a real-valued ^°° function of xeRn. In studying eigenfunction expansions for H, we further assume the existence and intertwining property of the (modified (channel)) wave operator W+ or W~9 whose definition will be given in a general form in Sect. 1.
Jensen, Arne, Kitada, Hitoshi
openaire +3 more sources
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
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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Eigenfunction Expansions Associated With Singular Differential Operators [PDF]
, 1955 Joanne Elliott
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