Results 31 to 40 of about 58,243 (254)
Half-linear discrete oscillation theory
Oscillatory properties of the second order half-linear difference equation $$\Delta(r_k|\Delta y_k|^{\alpha-2}\Delta y_k)+p_k|y_{k+1}|^{\alpha-2}y_{k+1}=0,$$ where $\alpha>1$, are investigated.
Pavel Řehák
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A sharp oscillation result for second-order half-linear noncanonical delay differential equations
In the paper, new single-condition criteria for the oscillation of all solutions to a second-order half-linear delay differential equation in noncanonical form are obtained, relaxing a traditionally posed assumption that the delay function is ...
Jozef Džurina, Irena Jadlovská
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Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš +2 more
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Sharp results for oscillation of second-order neutral delay differential equations
The aim of the present paper is to continue earlier works by the authors on the oscillation problem of second-order half-linear neutral delay differential equations.
Martin Bohner +2 more
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Oscillation of half-linear differential equations with mixed type of argument
This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$} \end{
Jozef Džurina, Blanka Baculíková
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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
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
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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
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New Oscillation Results For Third-Order Half-Linear Neutral Differential Equations
The main purpose of this paper is to obtain criteria for the oscillation of all solutions of a third-order half-linear neutral differential equation.
K. S. Vidhyaa +2 more
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Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
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