Results 31 to 40 of about 311,621 (266)
The Whitham Modulation Solution of the Complex Modified KdV Equation
This paper primarily concerns the Whitham modulation equation of the complex modified Korteweg–de Vries (cmKdV) equation with a step-like initial value. By utilizing the Lax pair, we derive the N-genus Whitham equations via the averaging method.
Shijie Zeng, Yaqing Liu
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Averaging in multifrequency systems with multi-point conditions and a delay
For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution.
Yaroslav Bihun, Ihor Skutar
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Several topologies on the invertible measure preserving transformations of a probability space are defined via the closure operator associated with the duality between transformations and classes of uniformly dissipative averaging methods. Properties of these topologies are closely tied to classical harmonic analysis on the circle via the spectral ...
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ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
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Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine +17 more
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In this paper we study the problem of the diffusion of one substance through the pores of a porous multi layered material which may absorb and immobilize some of the diffusing substances with the evolution or absorption of heat. As an example we consider
Harijs Kalis +3 more
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Stochastic average model methods
We consider the solution of finite-sum minimization problems, such as those appearing in nonlinear least-squares or general empirical risk minimization problems. We are motivated by problems in which the summand functions are computationally expensive and evaluating all summands on every iteration of an optimization method may be undesirable.
Matt Menickelly, Stefan M. Wild
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ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
wiley +1 more source
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
wiley +1 more source
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

