Results 11 to 20 of about 215,355 (212)

A precise asymptotic description of half‐linear differential equations

open access: yesMathematische Nachrichten, 2023
AbstractWe study asymptotic behavior of solutions of nonoscillatory second‐order half‐linear differential equations. We give (in some sense optimal) conditions that guarantee generalized regular variation of all solutions, where no sign condition on the potential is assumed.
openaire   +2 more sources

Oscillation criteria for fourth order half-linear differential equations [PDF]

open access: yesArchivum Mathematicum, 2020
In this paper, the following fourth-order differential equation \[(|y^{\prime\prime}|^{\alpha}\operatorname{sgn}(y^{\prime\prime}))^{\prime\prime}+q(t)|y|^{\alpha}\operatorname{sgn}(y)=0,\quad t\geq a>0\] is considered, where \(\alpha\) is a positive constant and \(q:[a,\infty)\to(0,\infty)\) is a continuous function.
Jaroš, Jaroslav   +2 more
openaire   +1 more source

Oscillation of second-order half-linear difference equations

open access: yesApplied Mathematics Letters, 2000
The authors obtain some new oscillation criteria for a second-order half-linear difference equation. The techniques based on Riccati type difference inequality are developed and examples, which illustrate the applications of the results, are also included.
Ethiraju Thandapani, K. Ravi
openaire   +2 more sources

An oscillation criterion for nonhomogeneous half-linear differential equations

open access: yesApplied Mathematics Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan-Tong Li, Sui-Sun Cheng
openaire   +2 more sources

Half-linear equations and characteristic properties of the principal solution

open access: yesJournal of Differential Equations, 2005
The authors study the characteristic properties of the principal solution for the half-linear differential equation \[ (a(t)\Phi(x'))'+b(t)\Phi(x)=0. \] Using the reciprocity principle, it is shown that the solutions of the considered equation have properties similar to those of linear equations.
M. CECCHI, Z. DOSLA, MARINI, MAURO
openaire   +2 more sources

Heterogeneity in the Global Practice of Central Nervous System Staging in Pediatric Acute Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási   +14 more
wiley   +1 more source

Oscillation of second order half-linear difference equations (I)

open access: yesApplied Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianchu Jiang, Xianhua Tang
openaire   +2 more sources

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Perturbations of Half‐Linear Euler Differential Equation and Transformations of Modified Riccati Equation

open access: yesAbstract and Applied Analysis, 2012
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half‐linear Euler differential equation. A perturbation is also allowed in the differential term.
Došlý, Ondřej, Funková, Hana
openaire   +3 more sources

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

open access: yesFEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

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