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Numerical Solution of Locally Loaded Volterra Integral Equations
ComputationLoaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin +3 more
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On the Theory of an Integral Equation
Advances in Applied Mathematics, 1994 The main object of the study in the paper is the following integral equation (1) \(x(t) = f(t) - \mu \int^ \infty_ 0 K(\tau) \text{sign} [x(t - \tau)] d \tau\). Here it is assumed that \(\mu \geq 0\), \(f\) is a continuous function having only isolated zeros \(t_ k\) such that \(f'(t_ k) \neq 0\) for \(k=1,2, \dots\). Moreover, the kernel function \(K\)
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FEBS Open Bio, EarlyView.Amino acids sequence of two different proteins with the same sequence (chameleon sequence—black boxes) represent in 3D structure of the proteins different secondary structures: HHHH—helical and BBB—Beta‐structural. The chains folded in water environment adopt different III‐order structures in which the chameleon fragments appear to adopt similar status
Irena Roterman +4 more
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Integral equations and product integrals [PDF]
Pacific Journal of Mathematics, 1966 openaire +2 more sources
FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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Integral equations for conical diffraction by coated grating
, 2011 The paper is devoted to integral formulations for the scattering of plane waves by diffraction gratings under oblique incidence. For the case of coated gratings Maxwell's equations can be reduced to a system of four singular integral equations on the ...
Schmidt, Gunther, G. Schmidt
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FEBS Open Bio, EarlyView.Bisphenol A (BPA), a common chemical in plastics, exerts dual effects on bladder cancer cells: low doses promote growth and migration, while high doses suppress growth and migration. Multi‐omics and bioinformatics reveal BPA acts via MAPK and inflammatory pathways.
Shaomin Niu +10 more
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MANAS: Journal of Engineering, 2016 In this paper, the generalized Simpson's rule (GSR) is applied to solve linear Fredholm-Stieltjes integral equations of the second kind (LFSIESK). A numerical example is presented to illustrate the method by using Maple.
A. Asanov, S. Yanık
doaj
FEBS Open Bio, EarlyView.Cytosolically synthesized chloroplast preproteins are translocated across the outer and inner envelope membranes through translocons called TOC and TIC, respectively. In green algae and plants, the TIC core is composed of essential membrane proteins, Tic12, Tic20, and Tic214.
Mengyi Li, Xueyang Zhao, Masato Nakai
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, 2002 Some boundaries about the solution of the second type linear Volterra integral equations with unit source term and with positive monotonically increasing convolution kernel were given by R. Ling [2], [3]. In this work, a method which ensures axpansion of
Temizer, ÖF, Özdemir, I
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