On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations [PDF]
ITM Web of Conferences, 2020 Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
Diamandescu Aurel
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Step-stress accelerated degradation test for Inverse Gaussian process based on M-optimality criterion [PDF]
Scientific ReportsStep-Stress Accelerated Degradation Test (SSADT) has been extensively employed in reliability assessment of degradation-induced failure products, with growing attention focused on its optimal design.
Jiayin Tang, Hao Zhou
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The Ψ−asymptotic equivalence of the Lyapunov matrix differential equations with modified argument [PDF]
ITM Web of Conferences, 2022 Using the notion of strict h−contraction, existence results for Ψ−asymptotic equivalence of two pairs of (Lyapunov) matrix differential equations with modified argument are given.
Diamandescu Aurel
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On asymptotic statistical equivalence of order of generalised difference sequences [PDF]
Maejo International Journal of Science and Technology, 2014 We introduce and examine the concepts of asymptotic statistical equivalence of order , and strong asymptotic equivalence of order of sequences. Also, we give some relations connected to these concepts.
Mikail Et +2 more
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Linear maps preserving equivalence or asymptotic equivalence on Banach space
Open Mathematics, 2023 Let XX be a complex Banach space with dimension at least two and B(X)B\left(X) the algebra of all bounded linear operators on XX. We show that a bijective linear map Φ\Phi preserves asymptotic equivalence if and only if it preserves equivalence, and in ...
Qin Zijie, Chen Lin
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On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
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The Almost Equivalence by Asymptotic Probabilities for Regular Languages and Its Computational Complexities [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 We introduce p-equivalence by asymptotic probabilities, which is a weak almost-equivalence based on zero-one laws in finite model theory. In this paper, we consider the computational complexities of p-equivalence problems for regular languages and ...
Yoshiki Nakamura
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Variationally Asymptotically Stable Difference Systems
Advances in Difference Equations, 2007 We characterize the h-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n∞-summable similarity and comparison principle.
Sung Kyu Choi, Yoon Hoe Goo, Namjip Koo
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Affine-periodic solutions by asymptotic and homotopy equivalence
Boundary Value Problems, 2020 This paper studies the existence of affine-periodic solutions which have the form of x ( t + T ) = Q x ( t ) $x(t+T)=Qx(t)$ with some nonsingular matrix Q.
Jiamin Xing, Xue Yang
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 Using the notion of strict h-contraction, existence results for Ψ-asymptotic equivalence of two pairs of (Lyapunov) matrix differential equations with integral term as right side and modified argument are given.
Diamandescu Aurel
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