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P-bodies act as dynamic control hubs for RNA processing and storage. [PDF]
Feng MW +5 more
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Modulation instability analysis and deriving soliton solutions of new nonlocal Lakshmanan-Porserzian-Daniel equation. [PDF]
Rabie WB, Abbas W, Ramadan ME, Ahmed HM.
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Multi-parameter fluorescence lifetime imaging for high-noise neuroscience applications. [PDF]
Salem AM +5 more
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Spectral Test for Exponential Stability
Mathematical Notes, 2023In this paper, the authors first consider an nth-order linear differential equation with constant coefficients in the complex Banach algebra B. Next, they also consider a linear system of ordinary differential equations with constant coefficients. Using the theory of commutative Banach algebras, an estimate of the solution with regard to the nth-order ...
Kostrub, I. D., Perov, A. I.
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Stability for Multivariate Exponential Families
Journal of Mathematical Sciences, 2001Let \(E\) be a Euclidean space, let \(Z :\Omega\to E\) be a nondegenerate random vector, and suppose there is an open convex set \(D\subset E\) such that \(P(Z\in \overline{D}) = 1\). If \(\mu\) is the distribution of \(Z\), define measures \(\mu_\lambda\) by \(d\mu_\lambda(x) = e^{\lambda x}d\mu(x)\), \(x\in E\), for any \(\lambda\) in the dual space \
Balkema, A. A. +2 more
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Almost exponential stability and exponential stability of resolvent operator families
Semigroup Forum, 2016A new concept of almost exponential stability of the resolvent operator family \(\{ R(t), \, t\geq 0 \},\) \[ R(t) x = x+ \int_0^t a(t-\tau) A R(\tau) x\,d\tau, \, x\in {\mathcal D}(A),\quad A: {\mathcal D}(A ) \subseteq X\rightarrow X \] is constructed.
Fan, Zhenbin, Dong, Qixiang, Li, Gang
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Spectral Test for the Exponential Stability
Differential Equations, 2021Consider the \(n\)-th order differential equation \[ A_{0}X^{(n)} +A_{1}X^{(n-1)}+\dots+A_{n-1}\dot{X}+A_{n}X=0, \tag{1} \] where \(A_{0},A_{1},\dots,A_{n}\) are constant \(m\times m\) matrices, the matrix \(A_{0}\) is nonsingular and \(X^{(k)}= \frac{d^{k}X}{dt^{k}}\), \(0 \leq k \leq n\). Let \(S(A)\) denote the spectrum of a matrix \(A\).
Perov, A. I., Kostrub, I. D.
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