Results 21 to 30 of about 5,158,783 (295)

Stability problem of some nonlinear difference equations

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1,    n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k),     n=0,1,… which includes as a special case the ...
Alaa E. Hamza, M. A. El-Sayed
doaj   +1 more source

On the Asymptotics of Nonlinear Difference Equations

Zeitschrift für Analysis und ihre Anwendungen, 2002
Solutions of nonlinear difference equations of second order are investigated with respect to their asymptotic behaviour. In particular, seven conjectures of Kulenović and Ladas concerning rational difference equations are verified.
openaire   +2 more sources

Characteristics of Conservation Laws for Difference Equations [PDF]

, 2013
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE, Grant, Timothy J., Hydon, Peter E., Grant, TJ   +3 more
core   +1 more source

On a class of difference equations with interlacing indices

, 2021
Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 years, are presented.
Stevič, Stevo, Kosmala, Witold, El-Sayed, Ahmed, Šmarda, Zdeněk, A. El-Sayed Ahmed, Zdeněk Šmarda, Witold Kosmala, Stevo Stević   +7 more
core   +1 more source

A role for eIF5A in translational control of stress‐inducible proteins in multiple myeloma cell lines

Molecular Oncology, EarlyView.
Loss of eIF5A rewires thapsigargin‐mediated endoplasmic reticulum stress responses in multiple myeloma cells by selective translation of mRNA transcripts, consequently dampening thapsigargin‐induced unfolded protein response (UPR) activation and shifting the balance from induction of apoptosis toward cell survival and proliferation.
Demi Both, Ingrid A. M. Derks, Raphaël Vanleyssem, Marine Leclercq, Najla El Hachem, Pierre Close, Eric Eldering, Marco Vincent Haselager   +7 more
wiley   +1 more source

Some new nonlinear retarded sum-difference inequalities with applications [PDF]

, 2011
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Wu-Sheng Wang, Zizun Li, Wang, WS, Cheung, WS, Li, Z, Wing-Sum Cheung   +5 more
core   +1 more source

Periodic solutions of second order nonlinear functional difference equations [PDF]

, 2007
summary:Sufficient conditions for the existence of at least one $T-$periodic solution of second order nonlinear functional difference equations are established.
Liu, Yuji
core   +1 more source

Analysis of Nonlinear Fractional Nabla Difference Equations

International Journal of Analysis and Applications, 2015
In this paper, we establish sufficient conditions on global existence and uniqueness of solutions of nonlinear fractional nabla difference systems and investigate the dependence of solutions on initial conditions and parameters.
Jagan Mohan Jonnalagadda
doaj   +2 more sources

Stability in Nonlinear Neutral Caputo q-Fractional Difference Equations

Mathematics, 2022
In this article, we consider a nonlinear neutral q-fractional difference equation. So, we apply the fixed point theorem of Krasnoselskii to obtain the existence of solutions under sufficient conditions.
Mouataz Billah Mesmouli, Abdelouaheb Ardjouni   +1 more
doaj   +1 more source

The impact of leukocyte‐associated RNA retention on platelet RNA‐based cancer detection

Molecular Oncology, EarlyView.
Platelets carry RNA signals that may help detect cancer, but platelet samples can also retain RNA from white blood cells. We found that this retained white blood cell signal did not significantly affect machine learning cancer classification, suggesting that the cancer‐related RNA signal in platelets is largely independent of leukocyte‐associated RNA ...
Michał Sieczczyński, Krzysztof Pastuszak, Anna Samelak‐Czajka, Zuzanna Cemka, Paulina Jackowiak, Tomasz Stefaniak, Sylwia Łapińska‐Szumczyk, Jacek Jassem, Anna J. Żaczek, Matthew T. Rondina, Myron G. Best, Sjors G. J. G. In 't Veld, Anna Supernat   +12 more
wiley   +1 more source