Results 21 to 30 of about 15,821 (256)

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

Solvability and Dynamical Analysis of Difference Equations

International Journal of Analysis and Applications, 2023
We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss
Mensah Folly-Gbetoula
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Two periodic solutions of neutral difference equations modelling physiological processes

Discrete Dynamics in Nature and Society, 2006
We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some
Jun Wu, Yicheng Liu
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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

Guidelines for Pediatric Radiotherapy Simulation: A Report From the Children's Oncology Group Radiation Oncology Discipline

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei, Stephen Mihalcik, Sujith Baliga, Young Kwok, Dana Casey, Eric Ehler, Christiane Burton, John C. Breneman, Daphne A. Haas‐Kogan, Suzanne L. Wolden, Arnold C. Paulino, Nadia N. Laack, Natia Esiashvili, Sarah Milgrom, Christine Hill‐Kayser, Thomas J. Fitzgerald, John A. Kalapurakal, Chia‐Ho Hua   +17 more
wiley   +1 more source

Association Between Dinutuximab Beta Exposure and Post‐End‐of‐Treatment Survival in Neuroblastoma: A Weighted Patient‐Level Analysis of Three Clinical Studies

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives The association between exposure to dinutuximab beta (DB) and event‐free survival (EFS) or overall survival (OS) of neuroblastoma patients was assessed using data collected during three clinical trials (five cohorts). Methods A systematic review (March 2026) was conducted to identify relevant studies (prospective; registered DB ...
Przemysław Holko, Holger N. Lode, Alberto Garaventa, Carla Manzitti, Roberto Luksch, Dominique Valteau‐Couanet, Marion Gambart, John Anderson, Juliet Gray, Adela Canete, Lucas Moreno, Aleksandra Wieczorek, Cormac Owens, Shifra Ash, Isaac Yaniv, Genevieve Laureys, Hans Loibner, Katarzyna Śladowska, Ruth Ladenstein, Paweł Kawalec   +19 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
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Measurable Residual Disease Monitoring During Treatment for Pediatric Acute Myeloid Leukemia in First Relapse

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen, Kristian Juul Sandahl, Lene Karlsson, Jonas Abrahamsson, Nira Arad‐Cohen, Daniel Cheuk, Barbara De Moerloose, Linda Fogelstrand, Jose Maria Fernandez Navarro, Bianca F. Goemans, Kirsi Jahnukainen, Gertjan Kaspers, Zhanna Kovalova, Monica Cheng Munthe‐Kaas, Ulrika Norén‐Nyström, Josefine Palle, Ramune Pasauliene, Cornelis Jan Pronk, Kadri Saks, Anne Tierens, Henrik Hasle, Kristian Løvvik Juul‐Dam   +21 more
wiley   +1 more source

The Relationship Between Physical Activity and Left Ventricular Remodeling in Childhood Cancer Survivors Treated With Anthracyclines: A Cross‐Sectional Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan, Sitong Chen, F. Lennie Wong, Nathan Young, Anna Qi, Christopher Davis, Sanjeet Hegde, Nicholas Gloude, Kasey J. Leger, Kelly D. Getz, Francisco Contijoch, Kirsten Ness, Bonnie Ky, Dennis Kuo, Sheri J. Hartman, Saro H. Armenian   +15 more
wiley   +1 more source

Childhood Acute Lymphoblastic Leukemia Survival in Western Kenya: Reduction in Early Deaths and Treatment Abandonment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An earlier study on children diagnosed with acute lymphoblastic leukemia (ALL) at Moi Teaching and Referral Hospital (MTRH) in Kenya reported a low event‐free survival (EFS), excess treatment abandonment, and high induction mortality.
Gilbert Olbara, George Bogonko, Festus Njuguna, Sandra Langat, Martha Kipngetich, Dennis Njenga, Gertjan Johannes Kaspers, Terry Allen Vik   +7 more
wiley   +1 more source