Results 41 to 50 of about 55,115 (257)
Existence and stability of multiple spot solutions for the gray-scott model in R^2 [PDF]
We study the Gray-Scott model in a bounded two dimensional domain and establish the existence and stability of {\bf symmetric} and {\bf asymmetric} multiple spotty patterns. The Green's function and its derivatives together with two nonlocal eigenvalue
Winter, M +3 more
core +1 more source
Existence of a unique zero of nonlinear systems
Existence statements for zeros of nonlinear equations are established via the interval Newton method generalizing previous theorems requiring regularity of the inclusion for the Jacobian.
Paul G. Bao +2 more
openaire +3 more sources
Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin +17 more
wiley +1 more source
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations [PDF]
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved.
Korelstein Leonid
doaj +1 more source
ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola +4 more
wiley +1 more source
A non-linear hyperbolic equation
In this paper the following Cauchy problem, in a Hilbert space H, is considered: (I+λA)u″+A2u+[α+M(|A12u|2)]Au=fu(0)=u0u′(0 ...
Eliana Henriques de Brito
doaj +1 more source
Generalized functional differential equations: existence and uniqueness of solutions
We study generalized nonlinear functional differential equations arising in various applications, for instance in the control theory, or if there is a need to incorporate impulsive and/or delay effects into the underlying system.
Arkadi Ponosov, Evgeny Zhukovskiy
doaj +1 more source
The existence of uniquely −G colourable graphs
Given graphs \(F\) and \(G\) and a nonnegative integer \(k\), a function \(\pi :V(F)\rightarrow \{1,\ldots ,k\}\) is a \(-G\) \(k\)-colouring of \(F\) if no induced copy of \(G\) is monochromatic; \(F\) is \(-G\) \(k\)-chromatic if \(F\) has a \(-G\) \(k\)-colouring but no \(-G\) \((k-1)\)-colouring.
Dimitris Achlioptas +3 more
openaire +1 more source
ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source

