Results 91 to 100 of about 2,326,383 (287)

APPLICATION OF INTEGRAL TRANSFORMS TO SOLVING LINEAR EQUATIONS

Demonstratio Mathematica, 1985
The paper includes an effective complex-analytical procedure for obtaining solutions of nth order linear differential equation \(\sum^{n}_{k=0}a_{k+1}(t)x^{(k)}(t)=z(t)\) with given \(x^{(k)}(0)\), \(k=0,1,...,n-1\). Functions \(a_{k+1}(t)\), \(t\geq 0\), \(k=0,1,...,n\), are piecewise continuously differentiable up to order n, while z(t) is for \(t ...
openaire   +2 more sources

Lie Group Symmetries as Integral Transforms of Fundamental Solutions [PDF]

We obtain fundamental solutions for PDEs of the form ut = x uxx +f(x)ux ??xru by showing that if the symmetry group of the PDE is nontrivial, it contains a standard integral transform of the fundamental solution. We show that in this case, the problem of
Mark Craddock, Kelly A Lennox
core  

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

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, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

Polyconvolution and the Toeplitz plus Hankel integral equation

Electronic Journal of Differential Equations, 2014
In this article we introduce a polyconvolution which related to the Hartley and Fourier cosine transforms. We prove some properties of this polyconvolution, and then solve a class of Toeplitz plus Hankel integral equations and systems of two ...
Nguyen Xuan Thao, Nguyen Minh Khoa, Phi Thi Van Anh   +2 more
doaj  

Comparison of Complex Sadik and KAJ Transforms for Ordinary Differential Equations to the Response of an Uncompressed Forced Oscillator

Ibn Al-Haitham Journal for Pure and Applied Sciences
In this paper we have presented a comparison between two novel integral transformations that are of great importance in the solution of differential equations. These two transformations are the complex Sadik transform and the KAJ transform.
Saed M. Turq, Emad A. Kuffi
doaj   +1 more source

INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]

This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core  

Versatile vector tools for efficient protein screening across multiple expression systems

FEBS Open Bio, EarlyView.
A unified vector toolkit enables rapid protein expression screening across E. coli, insect, and mammalian cells. A single primer pair amplifies the target gene, which is inserted into any vector via a standardized interface. This streamlined workflow eliminates repeated cloning steps, accelerating the identification of optimal expression conditions for
Zhimin Zhu, Yaqing Liu, Lei Qin, Feng Yu, Qisheng Wang, Yahui Liu   +5 more
wiley   +1 more source

Cutting-Edge Spectral Solutions for Differential and Integral Equations Utilizing Legendre’s Derivatives [PDF]

Iranian Journal of Numerical Analysis and Optimization
This research introduces a spectral numerical method for solving some types of integral equations, which is the pseudo-Galerkin spectral method. The presented method depends on Legendre’s first derivative polynomials as basis functions.
A.M. Abbas, Y.H. Youssri, M. El-Kady, M. Abdelhakem   +3 more
doaj   +1 more source

Time‐restricted feeding prior to Mycobacterium tuberculosis infection reduces tissue CD4+ T cells with limited impact on bacterial clearance

FEBS Open Bio, EarlyView.
Time‐restricted feeding (TRF) in mice increased liver fatty acid oxidation and decreased fatty acid biosynthesis. These alterations persisted when TRF was discontinued and the host was infected with Mycobacterium tuberculosis. Pre‐exposure to TRF did not alter tissue (lung and spleen) mycobacterial burden but significantly reduced CD3+ T cells in lungs
Ashish Gupta, Nidhi Yadav, Subhasmita Das, R. Rajendra Kumar Reddy, Nupur Sharma, Amol Ratnakar Suryawanshi, Jaswinder Singh Maras, Ranjan Kumar Nanda   +7 more
wiley   +1 more source

The crystal structure of the Borrelia burgdorferi nicotinamidase BBE22 resolves a long‐standing annotation error

FEBS Open Bio, EarlyView.
The crystal structure of Borrelia burgdorferi nicotinamidase (PncA/BBE22) reveals the correct full‐length protein initiated from a non‐canonical AUU start codon. The structure validates previous biochemical findings and resolves a long‐standing annotation error, demonstrating that the truncated database sequence is structurally incompatible with the ...
Kalvis Brangulis
wiley   +1 more source