Results 11 to 20 of about 265,751 (279)
Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces
Axioms, 2021 The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga (Toma) +2 more
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On the uniform exponential stability of linear time-delay systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a ...
M. de la Sen, Ningsu Luo
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On the uniform exponential stability of linear skew-product semiflows [PDF]
Journal of Function Spaces and Applications, 2006 The problem of uniform exponential stability of linear skew-product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and ...
Ciprian Preda
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On Uniform Exponential Stability and Exact Admissibility of Discrete Semigroups [PDF]
International Journal of Differential Equations, 2013 We prove that a discrete semigroup 𝕋={T(n):n∈ℤ+} of bounded linear operators acting on a complex Banach space X is uniformly exponentially stable if and only if, for each x∈AP0(ℤ+,X), the sequence n↦∑k=0nT(n-k)x(k):ℤ+→X belongs to AP0(ℤ+,X).
Aftab Khan, Gul Rahmat, Akbar Zada
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
Advances in Difference Equations, 2006 The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.
Zmorzynska Alexandra, Kloeden Peter E
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Representation Theorem for Stochastic Differential Equations in Hilbert Spaces and its Applications [PDF]
Surveys in Mathematics and its Applications, 2006 In this survey we recall the results obtained in [Ungureanu,Electronic Journal of Qualitative Theory of Differential Equations, 2004] where we gave a representation theorem for the solutions of stochastic differential equations in Hilbert spaces.
Viorica Mariela Ungureanu
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Representations of mild solutions of time-varying linear stochastic equations and the exponential stability of periodic systems [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2004 The main object of this paper is to give a representation of the covariance operator associated to the mild solutions of time-varying,linear, stochastic equations in Hilbert spaces.
V. M. Ungureanu
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 We present such a restriction on parameters of linear functional differential equations of retarded type that is sufficient for the uniform asymptotic stability of an equation to be equivalent to its exponential stability.
Andrew Kulikov, Vera Malygina
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Uniform exponential stability of linear almost periodic systems in Banach spaces
Electronic Journal of Differential Equations, 2000 This article is devoted to the study linear non-autonomous dynamical systems possessing the property of uniform exponential stability. We prove that if the Cauchy operator of these systems possesses a certain compactness property, then the uniform ...
David N. Cheban
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Uniform exponential stability of linear periodic systems in a Banach space
Electronic Journal of Differential Equations, 2001 This article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic ...
David N. Cheban
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