共查询到20条相似文献,搜索用时 109 毫秒
1.
We offer a new way of proving spectral mapping properties of delay semigroups in L
p
-history spaces with finitely many rationally depending delays based on an explicit construction of approximate eigenvectors.
This allows us to provide proper generalizations of the existing spectral mapping theorems.
Submitted: April 25, 2007. Accepted: November 5, 2007. 相似文献
2.
Liang-Yuh Ouyang Chun-Tao Chang Philip Shum 《Central European Journal of Operations Research》2012,20(1):141-160
Most researchers established their inventory lot-size models under trade credit financing by assuming that the supplier offers
the retailer fully permissible delay in payments and the products received are all non-defective. However, in the real business
environment, it often can be observed that the supplier offers the retailer a fully permissible delay in payments only when
the order quantity is greater than or equal to the predetermined quantity Q
d
. In addition, an arriving order lot usually contains some defective items due to imperfect production processes or other
factors. To capture this reality, the paper extends Huang (2007) economic order quantity (EOQ) model with partially permissible
delay in payments to consider defective items. We formulate the proposed problem as a profit maximization EOQ model in which
the replenishment cycle time is the decision variable. Then we use the arithmetic-geometric mean inequality approach to determine
the optimal solution under various situations. An algorithm to obtain the optimal solution is also provided. Finally, the
numerical examples and sensitivity analysis are given to illustrate the results. 相似文献
3.
Eugenii Shustin 《Israel Journal of Mathematics》1995,90(1-3):199-219
We study oscillations in the discontinuous dynamic system with time delay
. This is a typical model of relay feedback with delay. It is known that stable modes in this system have a bounded oscillation
frequency. Here we consider transient processes and obtain the following result: under some restrictions ofF, the average oscillation frequency of any solution becomes finite after a period of time, i.e. super-high-frequency oscillations
(with infinite frequency) exist only in a finite time interval. Moreover, we give an effective upper bound on the length of
this interval. 相似文献
4.
B. P. Harlamov 《Journal of Mathematical Sciences》2008,152(6):958-965
A continuous semi-Markov process with a segment as the range of values is considered. This process coincides with a diffusion
process inside the segment, i.e., up to the first hitting time of the boundary of the segment and at any time when the process
leaves the boundary. The class of such processes consists of Markov processes with reflection at the boundaries (instantaneously
or with a delay) and semi-Markov processes with intervals of constancy on some boundary. We derive conditions of existence
of such a process in terms of a semi-Markov transition generating function on the boundary. The method of imbedded alternating
renewal processes is applied to find a stationary distribution of the process. Bibliography: 3 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 351, 2007, pp. 284–297. 相似文献
5.
In this paper, we present an analysis for the class of delay differential equations with one discrete delay and the right‐hand side depending only on the past. We extend the results from paper by U. Fory? (Appl. Math. Lett. 2004; 17 (5):581–584), where the right‐hand side is a unimodal function. In the performed analysis, we state more general conditions for global stability of the positive steady state and propose some conditions for the stable Hopf bifurcation occurring when this steady state looses stability. We illustrate the analysis by biological examples coming from the population dynamics. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
6.
The main aim of this paper is to prove the existence and uniqueness of the solution for neutral stochastic functional differential
equations with infinite delay, which the initial data belong to the phase space ℬ((−∞,0];ℝ
d
). The vital work of this paper is to extend the initial function space of the paper (Wei and Wang, J. Math. Anal. Appl. 331:516–531,
2007) and give some examples to show that the phase space ℬ((−∞,0];ℝ
d
) exists. In addition, this paper builds a Banach space ℳ2((−∞,T],ℝ
d
) with a new norm in order to discuss the existence and uniqueness of the solution for such equations with infinite delay. 相似文献
7.
Some properties and applications of meromorphic factorization of matrix functions are studied. It is shown that a meromorphic
factorization of a matrix function G allows one to characterize the kernel of the Toeplitz operator with symbol G without actually having to previously obtain a Wiener–Hopf factorization. A method to turn a meromorphic factorization into
a Wiener–Hopf one which avoids having to factorize a rational matrix that appears, in general, when each meromorphic factor
is treated separately, is also presented. The results are applied to some classes of matrix functions for which the existence
of a canonical factorization is studied and the factors of a Wiener–Hopf factorization are explicitly determined.
Submitted: April 15, 2007. Revised: October 26, 2007. Accepted: December 12, 2007. 相似文献
8.
Let E and F be vector lattices and
the ordered space of all regular operators, which turns out to be a (Dedekind complete) vector lattice if F is Dedekind complete. We show that every lattice isomorphism from E onto F is a finite element in
, and that if E is an AL-space and F is a Dedekind complete AM-space with an order unit, then each regular operator is a finite element in
. We also investigate the finiteness of finite rank operators in Banach lattices. In particular, we give necessary and sufficient
conditions for rank one operators to be finite elements in the vector lattice
.
A half year stay at the Technical University of Dresden was supported by China Scholarship Council. 相似文献
9.
Cheng Jun Hou 《数学学报(英文版)》2008,24(6):983-996
We introduce two notions of the pressure in operator algebras, one is the pressure Pα(π, T) for an automorphism α of a unital exact C^*-algebra A at a self-adjoint element T in A with respect to a faithful unital *-representation π the other is the pressure Pτ,α(T) for an automorphism α of a hyperfinite von Neumann algebra M at a self-adjoint element T in M with respect to a faithful normal α-invariant state τ. We give some properties of the pressure, show that it is a conjugate invaxiant, and also prove that the pressure of the implementing inner automorphism of a crossed product A×α Z at a self-adjoint operator T in A equals that of α at T. 相似文献
10.
Julio G. Dix 《Israel Journal of Mathematics》1998,106(1):165-176
In this article, we study the frequency of zeros in the solution tou′(t)=f(t, u(t−τ(t))), whereτ is a delay that depends on time, andf is a discontinuous function. First we show examples of solutions that have infinite frequency for autonomous systems with
variable delay, and for non-autonomous systems with constant delay. Then we prove that infinite frequency solutions cannot
come from finite frequency data. Also we prove that under certain conditions on the delay, the zero solution is the only solution
that has infinitely many zeros in each interval of a fixed length. 相似文献
11.
This article is concerned with delay dynamic equations on time scales. Linear and nonlinear delay dynamic equations are discussed. By using a different theorem to that used S. Hilger, Analysis on measure chains. A unified approach to continous and discrete calculus. Results Math. 18 (1990), pp. 18–56], some criteria for the existence, uniqueness and continuous dependence of the solution for the nonlinear delay dynamic equations are established. 相似文献
12.
T. Koto 《BIT Numerical Mathematics》1994,34(2):262-267
A natural Runge-Kutta method is a special type of Runge-Kutta method for delay differential equations (DDEs); it is known that any one-step collocation method is equivalent to one of such methods. In this paper, we consider a linear constant-coefficient system of DDEs with a constant delay, and discuss the application of natural Runge-Kutta methods to the system. We show that anA-stable method preserves the asymptotic stability property of the analytical solutions of the system. 相似文献
13.
José M. Isidro 《Central European Journal of Mathematics》2007,5(3):512-522
Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball
in a J*-algebra
of operators. Let
be the family of all collectively compact subsets W contained in
. We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family
is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when
is a Cartan factor.
相似文献
14.
Alessandra Cherubini 《Milan Journal of Mathematics》2007,75(1):305-321
A word w over a finite alphabet Σ is called k-collapsing if for each finite deterministic automaton the inequality holds provided that for some word , depending on . A word over the alphabet Σ is called k-synchronizing if it is a reset word for all synchronizing automata with k + 1 states and input alphabet Σ. The aim of this work is to give the motivations of the interest in these words and to provide
an overview of some results in this area.
Received: May 2007 相似文献
15.
E. Steingrímsson 《Discrete and Computational Geometry》1994,12(1):465-479
The 2-weak vertex-packing polytope of a loopless graphG withd vertices is the subset of the unitd-cube satisfyingx
i
+x
j
≤1 for every edge (i,j) ofG. The dilation by 2 of this polytope is a polytope
with integral vertices. We triangulate
with lattice simplices of minimal volume and label the maximal simplices with elements of the hyperoctahedral groupB
d
. This labeling gives rise to a shelling of the triangulation
of
, where theh-vector of
(and the Ehrharth
*-vector of
can be computed as a descent statistic on a subset ofB
d
defined in terms ofG. A recursive way of computing theh-vector of
is also given, and a recursive formula for the volume of
.
This work was partially supported by grants from the Icelandic Council of Science and the Royal Swedish Academy of Sciences,
respectively. 相似文献
16.
In this paper we study C0-semigroups on X × Lp( − h, 0; X) associated with linear differential equations with delay, where X is a Banach space. In the case that X is a Banach lattice with order continuous norm, we describe the associated modulus semigroup, under minimal assumptions on
the delay operator. Moreover, we present a new class of delay operators for which the delay equation is well-posed for p in a subinterval of [1,∞).
Dedicated to the memory of H. H. Schaefer 相似文献
17.
Daniel J. Rudolph 《Israel Journal of Mathematics》1978,30(3):255-263
LetT acting on (Ω, ℱ, μ) be afinite entropy Bernoulli shift. AT invariant factor
is “relatively finite” if a.e. fiber of
has a finite, hence constantk, number of points. We say two factors
, “sit the same” if there is a measurable measure preserving map ϕ with
and
. We show here that up to sitting the same there are only finitely many relatively finite factors withk point fibers in a Bernoulli shift, and that they are classified by a certain algebraic structure in the symmetric group onk-points.
This work was supported in part by the Miller Institute for Basic Research, U. C. Berkeley. 相似文献
18.
A nonautonomous discrete single-species system with delays and feedback control is studied. New sufficient conditions for ensuring the permanence of the system are obtained. A very important fact is found in our results, that is, that the feedback control is harmless to the permanence of species. The corresponding results given in [F.D. Chen, Permanence of a single species discrete model with feedback control and delay, Appl. Math. Lett. 20 (2007) 729–733] are improved and extended. 相似文献
19.
Let be a smooth continuous trace algebra, with a Riemannian manifold spectrum X, equipped with a smooth action by a discrete group G such that G acts on X properly and isometrically. Then is KK-theoretically Poincaré dual to , where is the inverse of in the Brauer group of Morita equivalence classes of continuous trace algebras equipped with a group action. We deduce this
from a strengthening of Kasparov’s duality theorem. As applications we obtain a version of the above Poincaré duality with
X replaced by a compact G-manifold M and Poincaré dualities for twisted group algebras if the group satisfies some additional properties related to the Dirac
dual-Dirac method for the Baum- Connes conjecture.
This research was supported by the EU-Network Quantum Spaces and Noncommutative Geometry (Contract HPRN-CT-2002-00280) and the Deutsche Forschungsgemeinschaft (SFB 478) and by the National Science and Engineering Research Council of Canada Discovery Grant program. 相似文献
20.
Maria Bras-Amorós 《Designs, Codes and Cryptography》2007,43(2-3):137-145
One-point codes are those algebraic-geometry codes for which the associated divisor is a non-negative multiple of a single
point. Evaluation codes were defined in order to give an algebraic generalization of both one-point algebraic-geometry codes
and Reed–Muller codes. Given an -algebra A, an order function on A and given a surjective -morphism of algebras , the ith evaluation code with respect to is defined as the code . In this work it is shown that under a certain hypothesis on the -algebra A, not only any evaluation code is a one-point code, but any sequence of evaluation codes is a sequence of one-point codes.
This hypothesis on A is that its field of fractions is a function field over and that A is integrally closed. Moreover, we see that a sequence of algebraic-geometry codes G
i
with associated divisors is the sequence of evaluation codes associated to some -algebra A, some order function and some surjective morphism with if and only if it is a sequence of one-point codes.
相似文献