奇异系统的某些性质及其与奇异脉冲系统的稳定性等价

本文研究了与特征值相关的奇异系统解的构造及其性态，并讨论了奇异脉冲系统与奇异系统的稳定性等价。     

高维Lienard型方程的调和解

本文运用重合度理论，在阻尼可负的条件下，得到Ｌｉｅｎａｒｄ型系统存在调和解的若干新判据。     

关于相关系间的同构映射

建立了相关系间的同构映射,给出了相关系间同构映射的一些等价条件,并通过具体的同构映射揭示出相关系的一些内在本质.     

On the simultaneous diagonal stability of a pair of positive linear systems

In this paper we derive a necessary and sufficient condition for the existence of a diagonal common quadratic Lyapunov function (CQLF) for a pair of positive linear time-invariant (LTI) systems.     

带有偏差变元的广义Hamilton系统周期解的存在性

应用变分方法与Morse理论,本文讨论下面含有时滞的广义Hamilton系统的周期解,J*du-dt=g(t,u(t-r1),…,u(t-rs))其中J*是非奇异2n×2n反对称矩阵.在一定条件下,本文得到上述方程至少存在两个非平凡2π-周期解而对于一般的微分系统,本文给出其具有变分结构的判定性准则.     

On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations

This paper investigates the problem of the growth of the components of meromorphic solutions of a class of a system of complex algebraic differential equations, and generalized some of N. Toda＇s results concerning the growth of differential equations to the case of systems of differential equations. The paper considers the existence of admissible solutions of the system of differential equations.     

On the Full Idle Time in Multiphase Queueing Systems

The modern queueing theory is a powerful tool for a quantitative and qualitative analysis of communication systems, computer networks, transportation systems, and many other technical systems. The paper is designated to the analysis of queueing systems arising in the network theory and communications theory (such as the so-called multiphase queueing systems, tandem queues, or series of queueing systems). We present heavy traffic limit theorems for the full idle time in multiphase queueing systems. We prove functional limit theorems for values of the full idle time of a queueing system, which is its important probability characteristic. __________ Translated from Lietuvos Matematikos Rinkinys, Vol. 45, No. 3, pp. 367–386, July–September, 2005.     

关于带一般混合边界条件的半线性反应扩散系统解的整体存在性问题

本文利用Ｇｒｏｎｗａｌｌ不等式及对偶技巧，研究了带一般混合边界条件的半线性反应扩散系统解的存在性问题，给出了一些控制条件，得到解的整体存在性，改进并推广了以前的结果。     

具有奇异项的拟线性椭圆型方程组无穷多弱解的存在性

本文在一定条件下讨论了一类具有奇异项的,被两个pLaplacian算子控制的拟线性椭圆型方程组Dirichlet问题无穷多弱解的存在性.     

On the Absolute Summability of Series with Respect to Block-Orthonormal Systems

Theorems determining Weyl's multipliers for the summability almost everywhere by the |c, 1| method of the series with respect to block-orthonormal systems are proved. In particular, it is stated that if the sequence {(n)} is the Weyl multiplier for the summability almost everywhere by the |c, 1| method of all orthogonal series, then there exists a sequence {N _k} such that {(n)} will be the Weyl multiplier for the summability almost everywhere by the |c, 1| method of all series with respect to the _k -orthonormal systems.     

On Generic Uniqueness of Optimal Solutions for the General Monge-Kantorovich Problem

We show that a multifunction a, which assignes to a cost function c the set a(c) of optimal solutions for the corresponding Monge-Kantorovich problem, is generically single-valued.     

On the Existence of Solutions of Quasi-equilibrium Problems with Constraints

The quasi-equilibrium problems with constraints are formulated and some sufficient conditions on the existence of their solutions are shown. As special cases, we obtain several results on the existence of solutions of some vector quasivariational inequality and vector optimization problems. An application of the obtained results is given to show the existence of solutions of quasi-optimization problems with constraints.     

On the stability index for weighted composition operators

Let ?>0. A continuous linear operator T:C(X)?C(Y) is said to ?-preserve disjointness if ‖(Tf)(Tg)‖_∞≤?, whenever f,g∈C(X) satisfy ‖f‖_∞=‖g‖_∞=1 and fg≡0. In this paper we continue our study of the minimal interval where the possible maximal distance from a norm one operator which ?-preserves disjointness to the set of weighted composition maps may lie. We provide sharp bounds for both the finite and the infinite case, which turn out to be completely different.