Results 41 to 50 of about 5,764,328 (311)
It is difficult to study the existence of solutions for boundary value problems of differential equations at resonance, moreover, to get positive solutions of boundary value problems for differential equations at resonance is more difficult.
Weihua JIANG, Caixia YANG
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Positive solutions of positive linear systems
The Volterra-Lotka equations \(dx_ i/dt=x_ i(b_ i-\Sigma a_{ij}x_ j),\) \(b_ i>0\), \(a_{ii}>0\), \(a_{ij}\geq 0\) correspond to an ecosystem with interspecies and intraspecies competition. A steady state solution \(X^*\) exists if \(b_ i-\Sigma a_{ij}X^*_ j=0\).
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ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis +13 more
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Positive solutions for nonlinear elliptic systems
In this article, we study the existence of positive solutions for the system $$displaylines{ Delta u=H(x,u,v),cr Delta v=K(x,u,v),hbox{in }mathbb{R}^n; (ngeq 3), }$$ where $H,K: mathbb{R}^nimes[0,infty)imes[0,infty)o[0,infty)$ are continuous ...
Adel Ben Dekhil
doaj
POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS [PDF]
AbstractIn this paper, we show that the semilinear elliptic systems of the form (0.1) possess at least one positive solution pair (u, v) ∈ H10(Ω) × H10(Ω), where Ω is a smooth bounded domain in $\mathbb{R}^N$, f(x,t) and g(x, t) are continuous functions on $\Omega\times \mathbb{R}$ and asymptotically linear at infinity.
Peng, Chaoquan, Yang, Jianfu
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Lifestyle Behaviors and Cardiotoxic Treatment Risks in Adult Childhood Cancer Survivors
ABSTRACT Background Higher doses of anthracyclines and heart‐relevant radiotherapy increase cardiovascular disease (CVD) risk. This study assessed CVD and CVD risk factors among adult childhood cancer survivors (CCSs) across cardiotoxic treatment risk groups and examined associations between lifestyle behaviors and treatment risks.
Ruijie Li +6 more
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Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential
We study perturbations of the eigenvalue problem for the negative Laplacian plus an indefinite and unbounded potential and Robin boundary condition. First we consider the case of a sublinear perturbation and then of a superlinear perturbation.
Papageorgiou, N. S. +2 more
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Existence of positive solutions to a class of Caputo fractional differential equations
In order to investigate the existence of positive solutions to a class of Caputo fractional differential equation boundary value problems with p-Laplacian operator, the Green’s function is obtained by calculus, and its properties are discussed.
Yunhong LI, Wenjing LYU
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ABSTRACT We present two pediatric cases of pediatric low‐grade gliomas (PLGG) with BRAF V600E mutations diagnosed and monitored using cerebrospinal fluid (CSF) liquid biopsy analyzed via digital droplet PCR (ddPCR), without tissue biopsy. Both patients were treated with dabrafenib and trametinib and monitored through clinical assessments, magnetic ...
Hannah Sultan +5 more
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A periodic model for the dynamics of cell volume
We prove the existence and uniqueness of positive periodic solution for a model describing the dynamics of cell volume flux, introduced in Julio A. Hernandez \cite{H}. We also show that the periodic solution is a global attractor. Our results confirm the
Korman, Philip
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