Results 31 to 40 of about 15,821 (256)
Periodic solutions of difference equations with general periodicity
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.
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ABSTRACT Background General pediatricians often evaluate hematologic and oncologic presentations before subspecialty consultation, yet the 2025 Accreditation Council for Graduate Medical Education (ACGME) pediatric requirements reduce inpatient pediatric hematology/oncology (PHO) time, raising questions about resident readiness.
Colburn Yu, Rohini Jain
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Equations for periodic solutions of a logistic difference equation [PDF]
AbstractThe paper is concerned with periodic solutions of the difference equation un + 1 = 2aun, where a and b are constants, with and b > 0. A new method is developed for dealing with this problem and, for period lengths up to 6, polynomial equations are given which allow the periodic solutions to be determined in a precise and practical manner ...
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ABSTRACT Background Germ cell tumors (GCTs) often arise in the ovaries and testes (extracranial) but can also develop in the brain (intracranial). We examined the relationship of individual, family, and community‐level socioeconomic status (SES) with stage of disease at diagnosis in a cohort of pediatric patients with GCT from Children's Oncology Group
Heydon K. Kaddas +7 more
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ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior +11 more
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We prove that if there exists α≤β, a pair of lower and upper solutions of the first-order discrete periodic problem Δu(n)=f(n,u(n));n∈IN≡{0,…,N−1},u(0)=u(N), with f a continuous N-periodic function in its first variable ...
Dolores Rodríguez-Vivero +2 more
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Natural Killer Cells in Paediatric Soft Tissue Sarcomas: A Systematic Review
ABSTRACT Paediatric soft tissue sarcomas (pSTS) are a rare and heterogeneous group of malignant tumours arising in tissues of mesenchymal origin. The role of natural killer (NK) cells in pSTS remains poorly understood, with evidence fragmented across small preclinical studies and early‐phase clinical trials.
Raya Dean +7 more
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ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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For nonlinear difference equations of the form xn=F(n,xn−1,…,xn−m), it is usually difficult to find periodic solutions. In this paper, we consider a class of difference equations of the form xn=anxn−1+bnf(xn−k), where {an}, {bn} are periodic sequences ...
Chengmin Hou, Sui Sun Cheng
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Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay
In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, \( x(n+1)=f(n,x(n))+\sum_{s=-\infty}^{n}F(n,s, {x(n+s)},x(n)) \), we consider certain stability properties, which are referred
Yoshihiro Hamaya +2 more
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