Results 71 to 80 of about 6,618,367 (274)
Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations
Mathematics, 2021 We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is
Zuzana Pátíková, Simona Fišnarová
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On oscillation of half-linear functional-differential equations with deviating arguments
Hiroshima Mathematical Journal, 1994 This paper is devoted to the study of the oscillatory behavior of semilinear functional differential equations of the type \[ \biggl( \bigl |x'(t) \bigr |^\alpha \text{sign} x'(t) \biggr)' = \sum^n_{i = 1} p_i (t) \biggl |x \bigl( g_i(t) \bigr) \biggr |^\alpha \text{sgn} x \bigl( g_i(t) \bigr), \tag{A} \] where \(\alpha > 0\), \(p_i : [0, \infty) \to ...
Kusano, Takaŝi, Lalli, B. S.
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Small RNA pathways in mammalian oocytes
FEBS Open Bio, EarlyView.Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
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Regular half-linear second order differential equations [PDF]
, 2003 summary:We introduce the concept of the regular (nonoscillatory) half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0\,,\quad \Phi (x):=|x|^{p-2}x\,,\quad p>1 \qquad \mathrm {{(*)}}\] and we show ...
Došlý, Ondřej, Řezníčková, Jana
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Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA
FEBS Open Bio, EarlyView.PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro +1 more
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Oscillatory Behavior of Even-Order Half-Linear Neutral Differential Equations
International Journal of Differential Equations, 2022 This paper discusses some sufficient conditions for oscillatory behavior of even-order half-linear neutral differential equation. An example is given to illustrate the main result.
S. Sangeetha +2 more
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Half-linear Euler differential equations in the critical case [PDF]
Tatra Mountains Mathematical Publications, 2011 Abstract We investigate oscillatory properties of the perturbed half-linear Euler differential equation . A perturbation is also allowed in the coefficient involving derivative.
Ondřej Došlý, Hana Haladová
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
, 2020 We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1
Vojtěch Růžička
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Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins
FEBS Open Bio, EarlyView.Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
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Hartman-Wintner type criteria for half-linear second order differential equations [PDF]
, 2007 summary:We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x,\ p>1, \] where this equation is viewed as a perturbation ...
Pátíková, Zuzana, Opluštil, Zdeněk
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