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For a class of planar polynomial differential systems of degreep+q, arising from biochemical reactions, there are given conditions of parameters under which the systems produce Hopf bifurcation with limit cycles appearing, or have no closed orbits.
We consider a two-station tandem queue with no intermediate buffer. Jobs at the first station may be blocked when the following station is occupied by another job. The objective is to control the arrival and departure processes, subject to some capacity limits, so that an expected discounted...
In this paper, we consider the solutions of the nonlinear Schrödinger equations ∂u/∂t−iΔu+|u|
0(x), whereu is defined onR
2. We prove the existence and uniqueness of global weak solutions of the above equations. Lastly, we consider the special case:p=2, and we obtain the...
This paper studies the convergence properties of multiplicative iterative algorithms with inexact line search. We prove that the convergence can be guaranteed for a general form of line search rule, under the assumption of convexity of objective function or the assumption of convergence of the...
A Hopfield-type neural network with adaptively changing synaptic weights and activation function parameters is presented to solve unconstrained nonlinear programming problems. The network performance is similar to that of the trust region method in the mathematical programming literature. There...
LetG be a simple graph. Letg(x) andf(x) be integer-valued functions defined onV(G) withf(x)≥g(x)≥1 for allxεV(G). It is proved that ifG is an (mg+m−1,mf−m+1)-graph andH is a [1,2]-subgraph withm edges, then there exists a (g,f)-factorization ofG orthogonal toH.
The stress boundary value problem of quasi-static linear thermoelasticity is discussed. The thermoelastic systems on bounded simply-connected domain is decoupled. The decoupled temperature equation is investigated by using accurate estimation and the contractive mapping principle. Representation...
In this paper we introduce homogeneous multiplicative functionals of Lévy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by sub-Lévy processes through the killing transformation.
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