Results 41 to 50 of about 58,243 (254)
Forced oscillation of super-half-linear impulsive differential equations
The aim of this work is to establish new oscillation criteria for forced super-half-linear equations of the form \[ \begin{alignedat}{2} 2 (m(t)\varphi_\alpha(y'))'&+ q(t)\varphi_\beta(y)= f(t),&\quad t&\neq \theta_i,\\ \Delta(m(t)\varphi_\alpha(y'))&+ q_i\varphi_\beta(y)= f_i,&\quad t&= \theta_i,\;i\in\mathbb{N}, \end{alignedat} \] where \(\beta\geq ...
Abdullah Özbekler, Agacik Zafer
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Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Electron transfer between complexes III and IV in S. cerevisiae mitochondrial membranes
Mitochondrial oxidative phosphorylation in S. cerevisiae mitoplasts is limited by complex IV catalytic capacity, rather than two‐dimensional cytochrome c diffusion. At physiological cytochrome c : supercomplex ratios at salinity equivalent to that of 20 mm monovalent salt, activity is maximized, indicating that this low ionic strength accurately mimics
Ana Paula Lobez +2 more
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Hartman-type comparison theorems for half-linear differential equations of the second order
Comparison theorem of the Hartman type for a continuous family of nonlinear differential equations of the form $$ \big(p(t, \lambda)\varphi(u')\big)' + q(t,\lambda) \varphi(u) = 0, \lambda \geq 0, \quad \tag{ $\rm E_\lambda$}$$ where $ p \in \mathrm{C ...
Jaroslav Jaroš
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Variational method and conjugacy criteria for half-linear differential equations [PDF]
The authors analyse the conjugacy of the second order half-linear differential equation \[ -[r(t)\Phi (x')]'+c(t)\Phi (x) = 0, \quad \Phi (x) = |x|^{p-1} \operatorname {sgn}\,x, p>1 \] in the interval \([-a,a], a\in \mathbb {R}\) (\(r,c\) being continuous functions and \(r(t)>0\) for \(t \in [-a,a]\)).
Chvátal, Martin, Došlý, Ondřej
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Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
A remark on the linearization technique in half-linear oscillation theory [PDF]
We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
doaj
A note on the existence of solutions with prescribed asymptotic behavior for half-linear ordinary differential equations [PDF]
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
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Solutions of Riemann–Weber type half-linear differential equation [PDF]
The author considers the Riemann-Weber type half-linear equation of the form \[(r(t)\Phi(x'))'+\left(c(t)+\frac{\mu}{h^p(t)(\int^t R^{-1}(s)ds)^2R(t)}\right)\Phi(x)=0,\] which is understood as a perturbation of the equation \((r(t)\Phi(x'))'+c(t)\Phi(x)=0\).
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Drosophila park mutants serve as a model for Parkinson's disease. We used this strain to investigate the connection between oxidative stress and the circadian clock mechanism. We showed that increased oxidative stress affects the physiology of pacemaker cells, disrupting their daily structural plasticity. Lack of rhythmic signaling from pacemaker cells
Kamila Zientara +3 more
wiley +1 more source

