Results 41 to 50 of about 1,849,360 (286)

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

Open Mathematics, 2022
In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan, Gao Chenghua, Dimitrov Nikolay D.   +2 more
doaj   +1 more source

Global behavior of a third order difference equation

Tamkang Journal of Mathematics, 2012
The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation\[x_{n+1}=\frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},\qquad n=0,1,2,\ldots\] where $A,B$ are nonnegative real numbers and$C, D>0$.
openaire   +3 more sources

Translationally invariant nonlinear Schrodinger lattices

, 2006
Persistence of stationary and traveling single-humped localized solutions in the spatial discretizations of the nonlinear Schrodinger (NLS) equation is addressed.
Berger A, Dmitriev S V, Dmitriev S V, Dmitry E Pelinovsky, Eilbeck J C Johansson M Vázquez L, Friesecke G, Oxtoby O F, Pankov A, Roy I Dmitriev S V Kevrekidis P G Saxena A, Speight J M, Speight J M, Tovbis A   +11 more
core   +2 more sources

Attractivity of two nonlinear third order difference equations

Journal of the Egyptian Mathematical Society, 2013
Consider the difference equations \[ x_{n+1}=\frac{A-Bx_{n-1}}{C+Dx_{n-2}},\;n=0,1,2,\dots,\tag{\(*\)} \] where \(A,B\) are nonnegative, \(D>0\) and \(C\) is a nonzero real number. Also, \(C+Dx_{n-2}\neq 0\) for all \(n\geq 0\). The author investigates the global attractivity, periodic nature, oscillation and boundedness of all admissible solutions of ...
openaire   +1 more source

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source

High-order computational scheme for a dynamic continuum model for bi-directional pedestrian flows [PDF]

, 2010
In this article, we present a high-order weighted essentially non-oscillatory (WENO) scheme, coupled with a high-order fast sweeping method, for solving a dynamic continuum model for bi-directional pedestrian flows.
Shu, CW, Wong, SC, Xiong, T, Zhang, M, Zhang, P   +4 more
core   +1 more source

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

Basins of Attraction for Third-Order Sigmoid Beverton Holt Difference Equation

Mathematics
The third-order difference equation yn+1=a1yn21+yn2+a2yn−121+yn−12+a3yn−221+yn−22, as a potential discrete time model of population dynamics with three generation involved, is studied.
Mustafa R. S. Kulenović, Ryan Sullivan
doaj   +1 more source

Oscillatory criteria for Third-Order difference equation with impulses

Journal of Computational and Applied Mathematics, 2009
The authors investigate the oscillation of a mathematical formula for a third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solution of a third-order impulsive difference equation are obtained. Finally, some examples are included to illustrate the results.
Li, Qiaoluan, Zhang, Zhenguo, Guo, Fang, Liu, Zhiyong, Liang, Haiyan   +4 more
openaire   +1 more source

Baxter Equation for Quantum Discrete Boussinesq Equation

, 2001
Studied is the Baxter equation for the quantum discrete Boussinesq equation. We explicitly construct the Baxter $\mathcal{Q}$ operator from a generating function of the local integrals of motion of the affine Toda lattice field theory, and show that it ...
Antonov, Antonov, Baxter, Bazhanov, Bazhanov, Belov, Chekhov, Derkachov, Di Francesco, Dorey, Dorey, Eguchi, Enriquez, Faddeev, Faddeev, Faddeev, Fateev, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Hikami, Inoue, Inoue, Kashaev, Kazuhiro Hikami, Kharchev, Kryukov, Kulish, Kulish, Kupershmidt, Kuznetsov, Kuznetsov, Pasquier, Pronko, Sasaki, Sklyanin, Sklyanin, Sklyanin, Smirnov, Suzuki, Suzuki, Volkov   +47 more
core   +2 more sources