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1.
Codruţa Stoica Mihail Megan 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(3-4):1305-1313
The aim of this paper is to give several characterizations for the property of stability for skew-evolution semiflows on Banach spaces. Thus, we obtain generalizations of some well known results due to Barbashin, Datko and Rolewicz in the case of evolution equations in Banach spaces. A unified treatment in the uniform setting is provided. 相似文献
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In this paper, we prove the existence of a uniform attractor for non-autonomous Brinkman-Forchheimer equations with general delay and time-dependent external force. 相似文献
4.
In this paper we investigate stability of uniformly attracting sets for semiflows generated by impulsive infinite-dimensional dynamical systems without uniqueness. Obtained abstract results are applied to weakly nonlinear parabolic system, whose trajectories have jumps at moments of intersection with certain surface in the phase space. 相似文献
5.
Douglas Bridges Hajime Ishihara Peter Schuster Luminiţa Vîţa 《Archive for Mathematical Logic》2005,44(7):887-895
Uniform sequential continuity, a property classically equivalent to sequential continuity on compact sets, is shown, constructively,
to be a consequence of strong continuity on a metric space. It is then shown that in the case of a separable metric space,
uniform sequential continuity implies strong continuity if and only if one adopts a certain boundedness principle that, although
valid in the classical, recursive and intuitionistic setting, is independent of Heyting arithmetic. 相似文献
6.
Uniform solution for uniform polyhedra 总被引:1,自引:0,他引:1
Zvi Har'el 《Geometriae Dedicata》1993,47(1):57-110
An arbitrary precision solution of uniform polyhedra and their duals is presented. The solution is uniform for all polyhedra given by their kaleidoscopic construction, with no need to examine each polyhedron separately.In memoriam of my father, Gershon Har'El, who introduced me to spatial structures. 相似文献
7.
It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this
says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely
that of being VWB. 相似文献
8.
Dmitry A. Vorotnikov Victor G. Zvyagin 《Journal of Mathematical Analysis and Applications》2007,325(1):438-458
Sufficient conditions for existence of minimal uniform trajectory attractors and uniform global attractors of non-autonomous evolution equations in Banach spaces are obtained. It is not assumed that the symbol space of an equation is a compact metric space and that the family of trajectory spaces corresponding to this symbol space is translation-coordinated or closed in any sense. Using these results, existence of minimal uniform trajectory attractors and uniform global attractors for weak solutions of the boundary value problem for motion equations of an incompressible viscoelastic medium with the Jeffreys constitutive law is shown. 相似文献
9.
Nasernejad Mehrdad Khashyarmanesh Kazem Roberts Leslie G. Toledo Jonathan 《Czechoslovak Mathematical Journal》2022,72(1):209-237
Czechoslovak Mathematical Journal - Let I be an ideal in a commutative Noetherian ring R. Then the ideal I has the strong persistence property if and only if (Ik+1: RI) = Ik for all k, and I has... 相似文献
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Pham Viet Hai 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(12):4390-4396
In this paper, we will consider the concept “linear skew-evolution semiflows” and extend theorems of R. Datko, S. Rolewicz, Zabczyk and J.M.A.M van Neerven for this case [15]. 相似文献
13.
In this paper, the existence of a uniform exponential attractor for a second order non-autonomous lattice dynamical system with quasiperiodic symbols acting on a closed bounded set is considered. Firstly, the existence and uniqueness of solutions for the considered systems which generate a family of continuous processes is shown, and the existence of a uniform bounded absorbing sets for the processes is proved. Secondly, a semigroup defined on a extended space is introduced, and the Lipschitz continuity, α-contraction and squeezing property of this semigroup are proved. Finally, the existence of a uniform exponential attractor for the family of processes associated with the studied lattice dynamical systems is obtained. 相似文献
14.
Ahmed Y. Abdallah 《Journal of Differential Equations》2011,251(6):1489-1504
In Abdallah (2008, 2009) [2] and [3], we have investigated the existence of exponential attractors for first and second order autonomous lattice dynamical systems. Within this work, in l2, we carefully study the existence of a uniform exponential attractor for the family of processes associated with an abstract family of first order non-autonomous lattice dynamical systems with quasiperiodic symbols acting on a closed bounded set. 相似文献
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The aim of this paper is to obtain necessary and sufficient conditions for the existence of a nonuniform exponential dichotomy over a general class of linear skew-product semiflows (over semiflows) on a Banach space. We extend Datko’s classical result to the case of the exponential nonuniform dichotomy of linear skew-product semiflows over semiflows on a Banach space, by using Lyapunov norms. 相似文献
17.
We study the exponential stability of linear skew-product semiflows on locally compact metric space with Banach fibers. Our main tool is the admissibility of a pair of the so-called Schäffer spaces. This characterization is a very general one, it includes as particular cases many interesting situations among them we can mention some results due to Clark, Datko, Latushkin, van Minh, Montgomery-Smith, Randolph, Räbiger, Schnaubelt. 相似文献
18.
Todd Niven 《Algebra Universalis》2007,57(1):101-107
Let
be a finite algebra. We show that if there exists a particular dualising alter ego
that satisfies a weak form of injectivity, then the notions of full duality and strong duality for
are equivalent.
Presented by R. Willard.
Received August 30, 2005; accepted in final form August 1, 2006. 相似文献
19.
Peter Matthews 《Journal of Theoretical Probability》1988,1(4):411-423
A random permutation ofN items generated by a sequence ofK random transpositions is considered. The method of strong uniform times is used to give an upper bound on the variation distance between the distributions of the random permutation generated and a uniformly distributed permutation. The strong uniform time is also used to find the asymptotic distribution of the number of fixed points of the generated permutation. This is used to give a lower bound on the same variation distance. Together these bounds give a striking demonstration of the threshold phenomenon in the convergence of rapidly mixing Markov chains to stationarity. 相似文献
20.
Global existence,asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems
In this paper, we first establish the global existence and asymptotic behavior of solutions by using the semigroup method and multiplicative techniques, then further prove the existence of a uniform attractor for a non-autonomous thermoelastic system by using the method of uniform contractive functions. The main advantage of this method is that we need only to verify compactness condition with the same type of energy estimates as that for establishing absorbing sets. Moreover, we also investigate an alternative result of solutions to the semilinear thermoelastic systems by virtue of the semigroup method. 相似文献