Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]
, 2013 We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J. +7 more
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Algebraization in Stability Problem for Stationary Waves of the Klein-Gordon Equation
East European Journal of Physics, 2019 Nonlinear traveling waves of the Klein-Gordon equation with cubic nonlinearity are considered. These waves are described by the nonlinear ordinary differential equation of the second order having the energy integral.
Nataliia Goloskubova, Yuri Mikhlin
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Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule [PDF]
, 1978 summary:The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to ...
Theocaris, P. S. +1 more
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Growth conditions for the stability of a class of time-varying perturbed singular systems [PDF]
, 2022 summary:In this paper, we investigate the problem of stability of linear time-varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions
Ezzine, Faten, Hammami, Mohamed Ali
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Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
, 2013 Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +2 more
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FEBS Letters, EarlyView.An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley +1 more source
Quadrature solution of singular integral equations—I A uniform treatment of fredholm and Volterra equations [PDF]
, 1990 Following the (Bellman-type) differential quadrature method presented by Ȯlaȯfė and Mason [1] for the solution of ordinary and partial differential equations, Ȯlaȯfė [2] presented a new integral quadrature method for the solution of integral ...
Odotlaȯfė, G.O.
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Adaptive BEM for elliptic PDE systems, Part I: Abstract framework for weakly-singular integral equations [PDF]
, 2022 In the present work, we consider weakly-singular integral equations arising from linear second-order strongly-elliptic PDE systems with constant coefficients, including, e.g., linear elasticity. We introduce a general framework for optimal convergence of
Gantner, Gregor; orcid: +1 more
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AxiomsThis study introduces two novel methodologies for solving systems of Fredholm integral equations, with particular emphasis on second-kind equations. The first method integrates the Sinc-collocation technique with a newly developed singular exponential ...
Saeed Althubiti, Abdelaziz Mennouni
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