Results 21 to 30 of about 15,236 (250)

Stable periodic solutions of difference equations

Applied Mathematics Letters, 1998
The authors consider the difference equation \[ x(t+1)= f\bigl(x(t)\bigr)+ \varepsilon g\bigl(t,x(t), x(t+1)\bigr),\;t\geq 0, \] where \(f\) and \(g\) are continuous functions and \(\varepsilon\) is sufficiently small. The function \(f\) has an attracting cycle of length \(n\) and \(g\) is 1-periodic in \(t\). Under further conditions the existence of \
Agarwal, R.P., Romanenko, E.Yu.
openaire   +2 more sources

On the Periodic Solutions of Some Systems of Difference Equations

Communications in Advanced Mathematical Sciences, 2018
In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
doaj   +1 more source

On quasi-periodic solutions of forced higher order nonlinear difference equations

Electronic Journal of Qualitative Theory of Differential Equations, 2020
Consider the following higher order difference equation \begin{equation*} x(n+1)= f(n,x(n))+g(n,x(n-k))+b(n), \qquad n=0, 1, \dots \end{equation*} where $f(n,x), g(n,x): \{0, 1, \dots \}\times [0, \infty) \rightarrow [0,\infty)$ are continuous functions
Chuanxi Qian, Justin Smith
doaj   +1 more source

Periodic solutions of difference equations with general periodicity

Computers & Mathematics with Applications, 2001
The authors discuss the continuous difference equation \[ x(t+1)= f\bigl(x(t)\bigr)+ \varepsilon g\bigl(t,x(t), x(t+1)\bigr),\tag{1} \] where \(f\) and \(g\) are given continuous functions and \(\varepsilon >0\) is a parameter. The function \(g\) is \(m\)-periodic in \(t\) and \(m\) may be not equal to the period of the cycle of \(f\) (a set ...
Agarwal, R.P., Zhang, W.
openaire   +2 more sources

Exploring Preferences for a Digital Single‐Session Intervention for Adolescent Siblings of Youth With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Adolescent siblings of children with cancer are at elevated risk for psychosocial problems. Unfortunately, various barriers such as limited family time and resources, conflicting schedules, and psychosocial staffing constraints at cancer centers hinder sibling access to support.
Christina M. Amaro, Sarah Silver, Prishi Patel, Meredith K. Reffner Collins, Kimberly S. Canter, Stephanie Fooks‐Parker, Michael Amylon, Shawna V. Hudson, Jessica L. Schleider, Melissa A. Alderfer, Katie A. Devine   +10 more
wiley   +1 more source

Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument

International Journal of Mathematics and Mathematical Sciences, 2015
Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial
James Guyker
doaj   +1 more source

Eventually Periodic Solutions of a Max-Type Difference Equation [PDF]

The Scientific World Journal, 2014
We study the following max-type difference equationxn=max⁡{An/xn-r,xn-k},n=1,2,…, where{An}n=1+∞is a periodic sequence with periodpandk,r∈{1,2,…}withgcd(k,r)=1andk≠r, and the initial conditionsx1-d,x2-d,…,x0are real numbers withd=max⁡{r,k}. We show that ifp=1(orp≥2andkis odd), then every well-defined solution of this equation is eventually periodic ...
Taixiang Sun, Jing Liu, Qiuli He, Xin-He Liu, Chunyan Tao   +4 more
openaire   +3 more sources

Criterion‐Related Validity of the Neuropsychological Quick Assessment for Screening Cognitive, Motor, and Behavioral Impairments in Patients With Pediatric Brain Tumors: An Observational Pilot Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata, Keita Ueda, Tsukasa Ueno, Katsutsugu Umeda, Kentaro Ueno, Kanade Tanaka, Noyuri Nishida, Rie Yamawaki, Megumi Nukui, Yoshiki Arakawa   +9 more
wiley   +1 more source

Intraoperative Collection of Ascitic Fluid With Intra‐ or Postoperative Reinfusion in Ovarian Cancer: Safety and Feasibility of a Roller Pumping Method

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka, Tsukuru Amano, Akimasa Takahashi, Mari Deguchi, Hiroyuki Yamanaka, Yuji Tanaka, Shunichiro Tsuji, Takashi Murakami   +7 more
wiley   +1 more source

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