Results 71 to 80 of about 10,711,362 (360)

Properties of entire solutions of some linear PDE's

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2017
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and 1.
Andriy Bandura   +2 more
doaj   +2 more sources

Bounded index, entire solutions of ordinary differential equations and summability methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
doaj   +1 more source

Prolonged Corrected QT Interval as an Early Electrocardiographic Marker of Cyclophosphamide‐Induced Cardiotoxicity in Pediatric Hematology and Oncology Patients

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cyclophosphamide (CY) is associated with potentially fatal cardiotoxicity, yet no electrocardiographic indices have been established for early detection of CY‐induced cardiomyopathy. This study aimed to determine whether corrected QT interval (QTc) prolongation can predict early onset of CY‐related cardiac dysfunction in pediatric ...
Junpei Kawamura   +5 more
wiley   +1 more source

Predicting Chronicity in Children and Adolescents With Newly Diagnosed Immune Thrombocytopenia at the Timepoint of Diagnosis Using Machine Learning‐Based Approaches

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser   +6 more
wiley   +1 more source

Fermat type differential and difference equations

open access: yesElectronic Journal of Differential Equations, 2015
This article we explore the relationship between the number of differential and difference operators with the existence of meromorphic solutions of Fermat type differential and difference equations. Some Fermat differential and difference equations of
Kai Liu, Xianjing Dong
doaj  

Entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
In this paper, the propagation phenomena in the Allen-Cahn-Nagumo equation are considered. Especially, the relation between traveling wave solutions and entire solutions is discussed.
H. Ninomiya
semanticscholar   +1 more source

A Systematic Review of Evidence on the Clinical Effectiveness of Surveillance Imaging in Children With Medulloblastoma and Ependymoma

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Surveillance imaging aims to detect tumour relapse before symptoms develop, but it's unclear whether earlier detection of relapse leads to better outcomes in children and young people (CYP) with medulloblastoma and ependymoma. This systematic review aims to identify relevant literature to determine the efficacy of surveillance magnetic ...
Lucy Shepherd   +3 more
wiley   +1 more source

Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition

open access: yesElectronic Journal of Differential Equations, 2011
Under the Keller-Osserman condition on $f+g$, we show the existence and nonexistence of entire solutions for the semilinear elliptic system $Delta u =p(x)f(v), quad Delta v =q(x)g(u),quad xin mathbb{R}^N$, where $p,q:mathbb{R}^No [0,infty)$ are ...
Zhijun Zhang, Yongxiu Shi, Yanxing Xue
doaj  

On the Growth of Solutions of Some Second Order Linear Differential Equations with Entire Coefficients

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we investigate the order and the hyper-order of growth of solutions of the linear differential equation where n≥2 is an integer, Aj (z) (≢0) (j = 1,2) are entire functions with max {σ A(j) : (j = 1,2} < 1, Q (z) = qmzm + ... + q1z + q0 is
Belaïdi Benharrat, Habib Habib
doaj   +1 more source

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