Transient Absorption Spectroscopy of Blue Copper Sites in Divergent Protein Folds: Azurin Versus Multicopper Oxidase. [PDF]
Ultrafast pump‐probe spectroscopy of two evolutionarily divergent blue copper proteins reveals distinct low‐frequency ground‐state collective modes (38 cm−1 in SLAC, 29 cm−1 in azurin) generated via impulsive stimulated Raman scattering, potentially reflecting the differences in the rigidity of the surrounding protein scaffold beyond a conserved Cu ...
Domenianni LI, Kielb P.
europepmc +2 more sources
Speech Neurophysiology in Realistic Contexts: Big Hype or Big Leap? [PDF]
Speech neurophysiology is moving from controlled listening tasks to dynamic, socially rich interactions, challenging traditional methods. This shift promises deeper insights into how the brain processes and represents speech in real‐world contexts, while introducing new analytical complexities.
Di Liberto GM, Ip EYJ.
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On nonoscillatory solutions of differential inclusions [PDF]
This paper introduces a nonoscillatory theory for differential inclusions based on fixed point theory for multivalued maps.
Agarwal, R.P., Grace, S.R., O'Regan, D.
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On nonoscillatory solutions of a nonlinear differential equation [PDF]
Sufficient conditions are given which insure that all nonoscillatory solutions of (p(t)x')'+h(x)x'+q(t)g(x) =f (t) tend to zero as t tends to infinity. In this paper we examine the behavior of the nonoscillatory solutions of the equation (1) (p(t)x')' + h(x)x' + q(t)g(x) = f(t) where p, q, andf are real valued and continuous for t >0 and h and g are ...
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Nonoscillatory solutions for discrete equations
The authors consider the discrete equation \[ \Delta(a(k)\Delta(y(k)+ py(k-\tau)))+F(k+1,y(k+1-\sigma))=0 \quad (k\in{\mathbb N}), \] here \(\Delta\) is the difference operator, \(F\) is a continuous map from \({\mathbb N}\times (0,\infty)\) into \([0,\infty), \tau,\sigma\in{\mathbb N}\cup\{0\}, a:{\mathbb N}\to(0,\infty)\), and \(p\in{\mathbb R}\).
Agarwal, R.P., Grace, S.R., O'Regan, D.
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Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term [PDF]
summary:In this paper, necessary and sufficient conditions for the existence of nonoscillatory solutions of the forced nonlinear difference equation \[ \Delta (x_{n}-p_{n} x_{\tau (n)})+f(n,x_{\sigma (n)})=q_{n} \] are obtained.
Zhang, B. G., Sun, Y. J.
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On unbounded nonoscillatory solutions of systems of neutral differential equations [PDF]
summary:In the paper we study the existence of nonoscillatory solutions of the system $x^{(n)}_i(t)=\sum^2_{j=1}p_{ij}(t)f_{ij}(x_j(h_{ij}(t))), n\geq 2, i=1,2$, with the property $lim_{t\rightarrow \infty}x_i(t)/t^{k_i}=const \neq 0$ for some $k_i\in ...
Ivanov, Anatolij F., Marušiak, Pavol
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Nonoscillatory solutions for super-linear Emden-Fowler type dynamic equations on time scales
In this paper, we consider the following Emden-Fowler type dynamic equations on time scales \begin{equation*} \big(a(t)|x^\Delta(t)|^\alpha \operatorname{sgn} x^\Delta(t)\big)^\Delta+b(t)|x(t)|^\beta \operatorname{sgn}x(t)=0, \end{equation*} when ...
Hui Li, Zhenlai Han, Yizhuo Wang
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An asymptotic formula for solutions of nonoscillatory half-linear differential equations [PDF]
summary:We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation \[ \left(r(t)\Phi (y^{\prime })\right)^{\prime }+c(t)\Phi (y)=0\,,\quad \Phi (y):=|y|^{p-2}y\,,\ p>1\,. \
Došlý, Ondřej +5 more
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Effect of nonlinear perturbations on second order linear nonoscillatory differential equations
The aim of this paper is to show that any second order nonoscillatory linear differential equation can be converted into an oscillating system by applying a sufficiently large nonlinear perturbation.
Akihito Shibuya, T. Tanigawa
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