Results 21 to 30 of about 318,439 (262)

Upper and Lower Solutions and Multiplicity Results

Journal of Mathematical Analysis and Applications, 2000
Using the topological degree theory, the author obtains some multiplicity results for the second-order differential equation \(x''=f(t,x,x')\), with both linear (periodic and Neumann) and nonlinear boundary conditions. Here, \(f:[a,b]\times \mathbb{R}^2 \to \mathbb{R}\) is continuous and satisfies certain growth conditions.
openaire   +1 more source

Upper and Lower Solutions and Topological Degree

Journal of Mathematical Analysis and Applications, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ambrosetti-Prodi-type results for a class of difference equations with nonlinearities indefinite in sign

Open Mathematics, 2022
In this article, we are concerned with the periodic solutions of first-order difference equation Δu(t−1)=f(t,u(t))−s,t∈Z,(P)\Delta u\left(t-1)=f\left(t,u\left(t))-s,\hspace{1em}t\in {\mathbb{Z}},\hspace{1.0em}\hspace{1.0em}\left(P) where s∈Rs\in {\mathbb{
Zhao Jiao, Ma Ruyun
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Upper–lower solutions for nonlinear parabolic systems and their applications

Journal of Mathematical Analysis and Applications, 2011
A method of upper and lower-solutions for nonlinear time-dependent reaction-diffusion systems of the type \[ \begin{cases} {\partial \over {\partial t}} u_i(x,t) - d_i \Delta u_i(x,t)= f_i(u_1,\dots,u_m, x) \quad \text{ for } x\in \Omega \subset \mathbb R^m \\ \alpha_i u_i(x,t) + \beta_i {\partial \over \partial n} u_i(x,t) = \psi_i(u_1,\dots,u_{i-1 ...
Abudiab, Mufid, Ahn, Inkyung, Li, Lige
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Health‐Related Social Needs in Children With Sickle Cell Disease Are Associated With Worse Health‐Related Quality of Life

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with sickle cell disease (SCD) face multiple acute and chronic medical complications that may impact their quality of life as reported by patients themselves. Health‐related social needs (HRSNs), such as food and housing insecurity, are common in people with SCD, but the association between HRSNs and patient‐reported ...
Sarah J. Marks, Molly Sonenklar, Cerelia Donald, Cecelia Valrie, Wally Smith, India Sisler   +5 more
wiley   +1 more source

Genomic Diversity and Clinical Variability in Pediatric Primary Cutaneous Anaplastic Large Cell Lymphoma: A Case Series

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Primary cutaneous anaplastic large cell lymphoma (pcALCL) is a rare pediatric CD30‐positive T‐cell lymphoproliferative disorder with an excellent prognosis, but its genomic drivers are poorly defined. We report three children with skin‐limited disease demonstrating striking molecular heterogeneity, including NPM::ALK, NUP214::FRK, and a novel ...
Shoshana Greenberger, Efrat Bar‐Ilan, Victoria Marcu, Evgeny Grishin, Rinat Yacobi, Aviv Barzilai, Hana Golan, Assaf Arie Barg   +7 more
wiley   +1 more source

Feasibility and Safety of Somato‐Cognitive Coordination Therapy for Cerebellar Ataxia Following Pediatric Brain Tumor Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi, Takashi Matsuzawa, Jun Yamanishi, Masahiro Yoshitomi, Junji Ikeda, Shin‐Ichi Tsujimoto, Yasuteru Yamaguchi, Norio Shiba, Dhroov Pathare, Ayumi Kato, Masahiko Hara   +10 more
wiley   +1 more source

Upper and lower solutions method for a class of second-order coupled systems

Boundary Value Problems
This paper provides a class of upper and lower solution definitions for second-order coupled systems by transforming the fourth-order differential equation into a second-order differential system.
Zelong Yu, Zhanbing Bai, Suiming Shang
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Existence of rotating-periodic solutions for nonlinear second order vector differential equations

Journal of Inequalities and Applications, 2020
In this paper, we establish two existence theorems of rotating-periodic solutions for nonlinear second order vector differential equations via the Leray–Schauder degree theory and the lower and upper solutions method.
Jin Zhang, Xue Yang
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Sustained Therapeutic Efficacy of Intravenous Plasminogen Concentrate in Pediatric Patients With Type 1 Plasminogen Deficiency: An Analysis of Dosing Parameters and Clinical Outcomes

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Type 1 plasminogen deficiency (PLGD‐1) is an ultra‐rare autosomal recessive disorder caused by variants in the PLG gene and affects approximately 1.6 individuals per million. The condition is characterized by decreased plasminogen levels and impaired function, resulting in fibrin‐rich lesions on mucous membranes throughout the body.
Charles Nakar, Karen Thibaudeau, Mary Mathias, Heather McDaniel, Madlen Reschke, Klaus Tenbrock, Joseph M. Parker, Amy Shapiro   +7 more
wiley   +1 more source