Results 11 to 20 of about 215,355 (212)
A precise asymptotic description of half‐linear differential equations
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.
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Oscillation criteria for fourth order half-linear differential equations [PDF]
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
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Oscillation of second-order half-linear difference equations
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
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An oscillation criterion for nonhomogeneous half-linear differential equations
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Wan-Tong Li, Sui-Sun Cheng
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Half-linear equations and characteristic properties of the principal solution
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
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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
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Oscillation of second order half-linear difference equations (I)
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Jianchu Jiang, Xianhua Tang
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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 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
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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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