Results 61 to 70 of about 5,648,332 (271)

A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations [PDF]

Mathematica Bohemica
The half-linear differential equation (|u'|^{\alpha}{\rm sgn} u')' = \alpha(\lambda^{\alpha+ 1} + b(t))|u|^{\alpha}{\rm sgn} u, \quad t \geq t_0, is considered, where $\alpha$ and $\lambda$ are positive constants and $b(t)$ is a real-valued ...
Manabu Naito
doaj   +1 more source

Oscillation of third-order half-linear neutral difference equations [PDF]

Mathematica Bohemica, 2013
The authors give oscillation criteria for the nonlinear neutral difference equations of the third order, \[ \Delta \big ( a_n\,(\Delta ^2(x_n\pm b_nx_{n-\delta }))\big )^{\alpha }+q_n\,x_{n+1-\tau }^{\alpha }=0. \] These criteria present sufficient conditions for the oscillation of every (nontrivial) solution, or the limit of the solution as \(n\to ...
Thandapani, E., Selvarangam, S.
openaire   +1 more source

Oscillation criterion for Euler type half‐linear difference equations

Mathematical Methods in the Applied Sciences, 2023
We consider general classes of Euler type linear and half‐linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non‐oscillation criterion.
Petr Hasil, Michal Veselý
openaire   +2 more sources

Time‐restricted feeding prior to Mycobacterium tuberculosis infection reduces tissue CD4+ T cells with limited impact on bacterial clearance

FEBS Open Bio, EarlyView.
Time‐restricted feeding (TRF) in mice increased liver fatty acid oxidation and decreased fatty acid biosynthesis. These alterations persisted when TRF was discontinued and the host was infected with Mycobacterium tuberculosis. Pre‐exposure to TRF did not alter tissue (lung and spleen) mycobacterial burden but significantly reduced CD3+ T cells in lungs
Ashish Gupta, Nidhi Yadav, Subhasmita Das, R. Rajendra Kumar Reddy, Nupur Sharma, Amol Ratnakar Suryawanshi, Jaswinder Singh Maras, Ranjan Kumar Nanda   +7 more
wiley   +1 more source

Sharp results for oscillation of second-order neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2023
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, Said Grace, Irena Jadlovská   +2 more
doaj   +1 more source

Oscillation and nonoscillation of second-order half-linear differential equations [PDF]

Journal of Mathematical Sciences, 2013
The paper considers the problem of oscillation and non-oscillation of the second order half-linear differential equation \[ ({|{u'(t)}|}^{\alpha-1}u'(t))'+p(t){|{u'(t)}|}^{\alpha-1}u(t)=0, \] where \(\alpha>0\) is a constant and \(p\in C([0,+\infty),[0,+\infty))\) is an integrable function.
Yong Zhou, Chen, X.W.
openaire   +3 more sources

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
wiley   +1 more source

Forced Oscillation of Second-Order Half-Linear Dynamic Equations on Time Scales

Abstract and Applied Analysis, 2010
We will establish a new interval oscillation criterion for second-order half-linear dynamic equation (r(t)[xΔ(t)]α)Δ+p(t)xα(σ(t))=f(t) on a time scale T which is unbounded, which is a extension of the oscillation result for second order linear dynamic ...
Quanwen Lin, Baoguo Jia, Qiru Wang
doaj   +1 more source

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, Fernando Lucas Palhano   +1 more
wiley   +1 more source

Asymptotic Behavior of Solutions to Half‐Linear q‐Difference Equations [PDF]

Abstract and Applied Analysis, 2010
We derive necessary and sufficient conditions for (some or all) positive solutions of the half‐linear q‐difference equation Dq(Φ(Dqy(t))) + p(t)Φ(y(qt)) = 0, t ∈ {qk : k ∈ ℕ0} with q > 1, Φ(u) = |u|α−1sgn u with α > 1, to behave like q‐regularly varying or q‐rapidly varying or q‐regularly bounded functions (that is, the ...
openaire   +4 more sources