Results 31 to 40 of about 26,149 (292)
Nonlinear Stability of Asymptotic Suction [PDF]
Transactions of the American Mathematical Society, 1984 The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 0 in the spectrum is removed with the ...
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A note on asymptotic stability [PDF]
Proceedings of the American Mathematical Society, 1968 where x is an m-vector, A and B(t) are complex m Xm matrices, A is constant and skew-Hermitian (A* = -A), B is continuous for all real t and of period w> 0, and e is a small positive number. The problem of deciding the asymptotic behavior of the solutions of such a system is a common one in perturbation theory.
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Some results on cascade discrete-time systems
Discrete Dynamics in Nature and Society, 2006 We present sufficient conditions for global asymptotic stability of cascade discrete-time systems. Considering failure of the global asymptotic stability in some cascade systems, we give an estimate of the region of attraction of the systems.
Xiao-Ming Bai +2 more
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Stability analysis of Abel's equation of the first kind
AIMS Mathematics, 2023 This paper established sufficient conditions for the stability of Abel's differential equation of the first kind. These conditions explicate the impact of the asymptotic behaviors exhibited by the time-varying coefficients on the overall stability of the
Mohammad F.M. Naser +2 more
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Prolongation of solutions and Lyapunov stability for Stieltjes dynamical systems
Electronic Journal of Qualitative Theory of Differential EquationsIn this article, we present Lyapunov-type results to study the stability of an equilibrium of a Stieltjes dynamical system. We utilize prolongation results to establish the global existence of the maximal solution.
Lamiae Maia +2 more
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The Ito-Skorokhod stochastic dynamical system with external random disturbances, with Markov switching and all prehistory is considered in this paper.
В. К. Ясинський +1 more
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The Lyapunov-Razumikhin theorem for the conformable fractional system with delay
AIMS Mathematics, 2022 This paper explicates the Razumikhin-type uniform stability and a uniform asymptotic stability theorem for the conformable fractional system with delay.
Narongrit Kaewbanjak +3 more
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ASYMPTOTIC STABILITY I: COMPLETELY POSITIVE MAPS [PDF]
International Journal of Mathematics, 2004 We show that for every "locally finite" unit-preserving completely positive map P acting on a C*, there is a corresponding *-automorphism α of another unital C*-algebra such that the two sequences P, P2, P3, … and α, α2, α3, … have the same asymptotic behavior. The automorphism α is uniquely determined by P up to conjugacy.
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Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
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Molecular Oncology, EarlyView.To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
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