Results 31 to 40 of about 2,236,935 (277)
ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij +11 more
wiley +1 more source
New class of practically solvable systems of difference equations of hyperbolic-cotangent-type
The systems of difference equations $$x_{n+1}=\frac{u_nv_{n-2}+a}{u_n+v_{n-2}},\quad y_{n+1}=\frac{w_ns_{n-2}+a}{w_n+s_{n-2}},\quad n\in\mathbb{N}_0,$$ where $a, u_0, w_0, v_j, s_j$ $j=-2,-1,0,$ are complex numbers, and the sequences $u_n$, $v_n,$ $w_n$,
Stevo Stevic
doaj +1 more source
Differential-difference equations reducible to difference and q-difference equations
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
Differential Galois Theory of Linear Difference Equations [PDF]
We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations.
Hardouin, Charlotte, Singer, Michael F.
core +5 more sources
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 +10 more
wiley +1 more source
Confluence of meromorphic solutions of q-difference equations [PDF]
In this paper, we consider a q-analogue of the Borel-Laplace summation where q>1 is a real parameter. In particular, we show that the Borel-Laplace summation of a divergent power series solution of a linear differential equation can be uniformly ...
Dreyfus, Thomas
core +2 more sources
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 +9 more
wiley +1 more source
Classification of five-point differential-difference equations
Using the generalized symmetry method, we carry out, up to autonomous point transformations, the classification of integrable equations of a subclass of the autonomous five-point differential-difference equations.
Garifullin, R. N. +2 more
core +2 more sources
Cosymmetries and Nijenhuis recursion operators for difference equations [PDF]
In this paper we discuss the concept of cosymmetries and co--recursion operators for difference equations and present a co--recursion operator for the Viallet equation.
Ablowitz M J +21 more
core +2 more sources
ABSTRACT Background Parents of children treated for acute lymphoblastic leukemia (ALL) often experience significant caregiver burden and disruption to their well‐being. While parent quality of life (QoL) during treatment is well characterized, little is known about outcomes during early survivorship.
Sara Dal Pra +3 more
wiley +1 more source

