共查询到20条相似文献,搜索用时 0 毫秒
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Leonid Berezansky Elena Braverman 《Journal of Mathematical Analysis and Applications》2006,324(2):1336-1355
New explicit conditions of exponential stability are obtained for the nonautonomous linear equation
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Leonid Berezansky Elena Braverman 《Journal of Mathematical Analysis and Applications》2007,332(1):246-264
New explicit conditions of exponential stability are obtained for the nonautonomous linear equation
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Kan Van Tuat 《Ukrainian Mathematical Journal》1991,43(10):1315-1326
Questions concerning exponential dichotomy for systems of differential equations with delay are considered.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 10, pp. 1418–1429, October, 1991. 相似文献
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We prove that the linear switching system , where is bounded valued square matrices and ?:[0,1,2,…)→Ω is an arbitrary switching signals, is uniformly exponentially stable if the sequence is bounded, where s(k) is bounded valued sequence. 相似文献
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M. Syed Ali 《Communications in Nonlinear Science & Numerical Simulation》2012,17(6):2595-2601
In this paper, the exponential stability for neutral delay differential system with nonlinear uncertainties is investigated. A novel exponential stability criterion for the system is derived using generalized eigenvalue problem (GEVP) approach. Based on this approach, the maximum allowable length and convergence rate is obtained. These stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the usefulness of our proposed method. 相似文献
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M. Afilal A. Guesmia A. Soufyane M. Zahri 《Mathematical Methods in the Applied Sciences》2020,43(5):2626-2645
In this paper, we consider a linear one-dimensional Bresse system consisting of three hyperbolic equations coupled in a certain manner under mixed homogeneous Dirichlet-Neumann boundary conditions. Here, we consider that only the longitudinal displacement is damped, and the vertical displacement and shear angle displacement are free. We prove the well-posedness of the system and some exponential, lack of exponential and polynomial stability results depending on the coefficients of the equations and the smoothness of initial data. At the end, we use some numerical approximations based on finite difference techniques to validate the theoretical results. The proof is based on the semigroup theory and a combination of the energy method and the frequency domain approach. 相似文献
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Let f∈C3[a,b] and L be a linear differential operator such that L(f)≥0. Then there exists a sequence Qn, n≥1, of polynomial splines with equally spaced knots, such that Q(r), approximates f(r), 0≤r≤s, simultaneously in the uniform norm. This approximation is given through inequalities with rates, involving a measure
of smoothness to f(s); so that L (Qn)≥0. The encountered cases are the continuous, periodic and discrete. 相似文献
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S. A. Ashmanov 《Computational Mathematics and Modeling》1991,2(4):380-384
Translated from Programmnoe Oborudovanie i Voprosy Prinyatiya Reshenii, pp. 99–105, 1989. 相似文献
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《Applied Mathematics Letters》2005,18(11):1304-1311
Using two classes of test functions introduced recently by the authors, a criterion for conditional stability of the trivial solution of a second-order semi-linear differential equation is established. 相似文献
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采用具有加权向量范数型李雅谱诺夫函数,对具滞后中立型线型大系统进行模型集结,得到集结系统;再运用比较原理与时域中的微分积分不等式,讨论相应集结系统,从而通过集结系统的稳定性,获得了具滞后中立型大系统的指数稳定性。 相似文献
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Zhi-Tao Wen Gary G. Gundersen Janne Heittokangas 《Journal of Differential Equations》2018,264(1):98-114
We study linear differential equations with exponential polynomial coefficients, where exactly one coefficient is of order greater than all the others. The main result shows that a nontrivial exponential polynomial solution of such an equation has a certain dual relationship with the maximum order coefficient. Several examples illustrate our results and exhibit possibilities that can occur. 相似文献
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In this paper we introduce weak exponential stability of stochastic differential equations. In particular, we introduce weak exponential stability in mean, weak exponential asymptotical stability in mean and weak uniform asymptotical stability in mean. We also derive some results related to the above concepts 相似文献