Results 21 to 30 of about 3,579,879 (270)

On a Higher-Order Difference Equation

Discrete Dynamics in Nature and Society, 2010
We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation xn=cxn−pxn−p−q/xn−q, n∈ℕ0, where p,q∈ℕ and c>0, extending some recent results in the literature.
Bratislav D. Iričanin, Wanping Liu
doaj   +1 more source

ON SOLVABILITY OF ONE DIFFERENCE EQUATION

Проблемы анализа, 2017
We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides.
I. A. Chernov
doaj   +1 more source

On an Exponential-Type Fuzzy Difference Equation

Advances in Difference Equations, 2010
Our goal is to investigate the existence of the positive solutions, the existence of a nonnegative equilibrium, and the convergence of a positive solution to a nonnegative equilibrium of the fuzzy difference equation , , , where and the initial values
Stefanidou G, Papaschinopoulos G, Schinas CJ   +2 more
doaj   +2 more sources

Adjunctive Therapeutic Plasma Exchange in Refractory Adult‐Onset Still's Disease Complicated by Secondary Macrophage Activation Syndrome: A Single‐Center Experience

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda, Tomohiro Saito, Masahide Mizobuchi, Tomoki Shimomura, Saki Kawamori, Mitsuru Kawanishi, Natsuko Hattori, Jo Sugiyama, Satoshi Tsubata, Hanami Horiguchi, Kazuki Abe, Nao Iida, Yuki Kajio, Nao Oguro, Ryo Yanai, Hirokazu Honda   +15 more
wiley   +1 more source

Differential-difference equations reducible to difference and q-difference equations

Computers & Mathematics with Applications, 2001
Asymptotic properties of solutions of the differential-difference equation \[ x'(qt+1)=h(x(t))x'(t), \quad t\geq 0,\;q\geq 1 \tag{*} \] are investigated. Let \(\varphi\in C^1([0,1];\mathbf R)\) satisfies \(\varphi'(1)=h(\varphi(0))\varphi'(0)\). A solution \(x\) of (*) satisfying \(x(t)=\varphi(t)\), \(t\in [0,1)\), is denoted by \(x_{\varphi}\).
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

Difference equation for a population model

Discrete Dynamics in Nature and Society, 2000
In this paper we consider a difference equation of the form u(t+2)=αu(t+1)+βu(t+1)−αu(t)αu(t), for t>−∞, seems to be a general statement of a relative socio-spatial dynamics. Indeed this equation is one of “population model”.
Mami Suzuki
doaj   +1 more source

An integrable discretization of KdV at large times

, 2001
An "exact discretization" of the Schroedinger operator is considered and its direct and inverse scattering problems are solved. It is shown that a differential-difference nonlinear evolution equation depending on two arbitrary constants can be solved by ...
A Spire, Ablowitz M J, Ablowitz M J, B Prinari, Bogoyavlensky O I, Case K M, Chadan K, F Pempinelli, Flaschka H, Guseinov G S, Guseinov G S, Hirota R, Kac M, Kako F, M Boiti, Manakov S V, Nijhoff F W, Pogrebkov A K, Shabat A   +18 more
core   +1 more source

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

FEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo, Catherine S. Palmer, Jacqueline M. Kimmey   +2 more
wiley   +1 more source

The role and implications of mammalian cellular circadian entrainment

FEBS Letters, EarlyView.
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley   +1 more source