Results 41 to 50 of about 5,317 (265)
Mathematics, 2023 This editorial text is a short introductory guide to the book edition of the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”, which was published in the MDPI ...
Sergei Sitnik
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Integral transform approach to generalized Tricomi equations
Journal of Differential Equations, 2015 We present some integral transform that allows to obtain solutions of the generalized Tricomi equation from solutions of a simpler equation. We used in [13,14],[41]-[46] the particular version of this transform in order to investigate in a unified way several equations such as the linear and semilinear Tricomi equations, Gellerstedt equation, the wave ...
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Positive-Definiteness, Integral Equations and Fourier Transforms
Journal of Integral Equations and Applications, 2004 The authors investigate the integral operator \[ A: L^2(\mathbb{R})\to L^2(\mathbb{R}),\quad (Au)(x)= \int^\infty_{-\infty} k(x,y) u(y)\,dy, \] \(x\in\mathbb{R}\), where \(k\) is positive definite kernel function (a special symmetric kernel). Let \(\widehat k(t,s)\) be the Fourier transform of the kernel \(k\) and \(\widetilde k(t,s):=\widehat k(t,-s)\)
Buescu, J. +3 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
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Electronic Journal of Differential Equations, 2018 In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi +3 more
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Methods and effective algorithms for solving multidimensional integral equations
Российский технологический журнал, 2022 Objectives. Integral equations have long been used in mathematical physics to demonstrate existence and uniqueness theorems for solving boundary value problems for differential equations. However, despite integral equations have a number of advantages in
A. B. Samokhin
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Second order elliptic partial differential equations driven by Lévy white noise
Modern Stochastics: Theory and Applications, 2021 This paper deals with linear stochastic partial differential equations with variable coefficients driven by Lévy white noise. First, an existence theorem for integral transforms of Lévy white noise is derived and the existence of generalized and mild ...
David Berger, Farid Mohamed
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Solution of integral equations by generalized Wavelet transform
Boletim da Sociedade Paranaense de Matemática, 2014 Wavelet transform and distributional wavelet transform are used to obtain the solution of few integral equations in this paper.
Deshna Loonker, P. K. Banerji
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Metamorphism—an integral transform reducing the order of a differential equation
Journal of Applied Analysis, 2023 Abstract We propose an integral transform, called metamorphism, which allows us to reduce the order of a differential equation. For example, the second-order Helmholtz equation is transformed into a first-order equation, which can be solved by the method of characteristics.
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