On Some Inequalities of Cauchy-Bunyakovsky-Schwarz Type and Applications [PDF]
Some discrete inequalities of Cauchy-Bunyakovsky-Schwarz type for complex numbers with applications for the maximal deviation of a sequence from its weighted mean are ...
Dragomir, Sever S, Sofo, Anthony
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Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results [PDF]
There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature. We obtain here a general integral inequality comprising some of those results and also provide other related inequalities.
Brnetić, Ilko +3 more
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On The Approximation Of Singular Integral Equations By Equations With Smooth Kernels [PDF]
Singular integral equations with Cauchy kernel and piecewise--continuous matrix coefficients on open and closed smooth curves are replaced by integral equations with smooth kernels of the form (t \Gamma ø )[(t \Gamma ø ) 2 \Gamma n 2 (t)" 2 ]
Prößdorf, Siegfried +4 more
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On Nonlinear Integral Inequalities of Gronwall Type in Two Variables [PDF]
In this paper we obtain some new nonlinear integral inequality of Gronwall type involving functions of two independent variables which can be used in the analysis of the behavior of the solutions of some partial differential ...
Kim, Young-Ho, Dragomir, Sever S
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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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On the stability of Bravais lattices and their Cauchy–Born approximations [PDF]
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability
Hudson, Thomas +3 more
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The method of fundamental solutions for Helmholtz-type problems [PDF]
The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]
A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
V. Daniele +3 more
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