Results 51 to 60 of about 1,849,805 (333)

On a Competitive System of Rational Difference Equations

Universal Journal of Mathematics and Applications, 2019
This paper aims to investigate the global stability and the rate of convergence of positive solutions that converge to the equilibrium point of the system of difference equations in the modeling competitive populations in the form $$ x_{n+1}^{(1)}=\frac{
Mehmet Gümüş
doaj   +1 more source

$\tau$-Functions, Birkhoff Factorizations and Difference Equations

, 2019
$Q$-systems and $T$-systems are systems of integrable difference equations that have recently attracted much attention, and have wide applications in representation theory and statistical mechanics.
Addabbo, Darlayne, Bergvelt, Maarten
core   +1 more source

Eigenvalue Characterization of a System of Difference Equations [PDF]

Nonlinear Oscillations, 2004
We consider the system of difference equations $$u_i (k) = \lambda \mathop \sum \limits_{\ell = 0}^N g_i (k,\ell )P_i (\ell ,u_1 (\ell ),u_2 (\ell ),...,u_n (\ell )), k \in \{ 0,1,...,T\} , 1 \leqslant i \leqslant n,$$ where λ > 0 and T ≥ N ≥ 0. Our aim is to determine the values of λ for which the above system has a constant-sign solution.
Agarwal, R.P., O'Regan, D., P. J. Y. Wong   +2 more
openaire   +2 more sources

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source

Functional representation of the Ablowitz-Ladik hierarchy

, 1997
The Ablowitz-Ladik hierarchy (ALH) is considered in the framework of the inverse scattering approach. After establishing the structure of solutions of the auxiliary linear problems, the ALH, which has been originally introduced as an infinite system of ...
Ablowitz M J, Ablowitz M J, Bogdanov L V, Carroll R, Dickey L, Kakei S, Levi D, Newell A C, Sato M, Shiota T, Ueno K, V E Vekslerchik, Vekslerchik V E, Vekslerchik V E, Vekslerchik V E   +14 more
core   +1 more source

A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations [PDF]

, 2013
A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in both space and ...
Eisenberg, Bob, Flavell, Allen, Kabre, Julienne, Li, Xiaofan, Liu, Chun, Machen, Michael   +5 more
core   +1 more source

Invariants for Difference Equations and Systems of Difference Equations of Rational Form

Journal of Mathematical Analysis and Applications, 1997
The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented.
openaire   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Perturbations of Nonlinear Systems of Difference Equations

Journal of Mathematical Analysis and Applications, 1996
Sufficient conditions in order to ensure that the perturbed equation \[ y(n+1)= f(n,y(n))+ g(n,y(n)) \] inherits its stability from the equation \[ x(n+1)= f(n,x(n)), \] are given.
openaire   +1 more source

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source