This paper examines whether consumers necessarily benefit from tightening the price cap. We find that a tighter price cap always increases consumer welfare when demands are independent. Conversely, when demands are interdependent a tighter price cap may reduce consumer welfare.  2000 Elsevier Science S.A. All rights reserved.

The present paper is devoted to an analytical investigation of a two species comensal host model. Both the commensal and host with limited resources and are harvested (immigration) at a constant rate. The model is characterized by couple of first order non-linear ordinary differential equations. The only one equilibrium point for the model is identified and stability criteria are discussed. Als...

For fixed step-size h the Strrmer method is stable for the standard test equation y = co2y, co > O, if and only ifhco < 2. We show that for variable step size h~ there does not exist a (positive) limit on hco which ensures stability. Nor can we guarantee stability if, in addition, we limit the step size ratio h~/h,_ 1AMS(MOS) Subject Classifications: 65L20.

In the above paper [1], equation (8) should be = u x u x v y v y 1 r ij dxdudydv = z 3 3 6 p 2 0 1 qS q p 2 + 1 + 6 q 2 0 1 pS p q 2 + 1 + 6pS(p) + 6qS(q) 0 12pqT

In this paper, we mainly study the robust stability of linear continuous systems with parameter uncertainties, a more general kind of uncertainties for system matrices is considered, i.e., entries of system matrices are rational functions of uncertain parameters which are varying in intervals. we present a method which can check the robust Hurwitz stability of such uncertain systems in finite s...

This paper analyzes several properties linked to the robust control of fractional diier-ential systems with delays. The BIBO stability of both retarded and neutral fractional delay systems is characterized in terms of the location of their poles. In the particular case of retarded systems, we give some properties of the poles of the system and the singular values of its Hankel operator, as well...

This paper investigates the L-stability properties of fractional nonlinear differential equations. Systems defined on a finite time interval are considered. The principal contributions are summarized in a theorem which give sufficient conditions for bounded stability of fractional order systems. We show that the proposed results can not be extended to the case of systems defined on an infinite ...

We consider the large deviations properties of the empirical measure for one dimensional constrained processes, such as reflecting Brownian motion, the M/M/1 queue, and discrete time analogues. Because these processes do not satisfy the strong stability assumptions that are usually assumed when studying the empirical measure, there is significant probability (from the perspective of large devia...

We consider the aggregation equation ut = ∇·(∇u−u∇K(u)) in a bounded domain Ω ⊂ R with supplemented the Neumann boundary condition and with a nonnegative, integrable initial datum. Here, K = K(u) is an integral operator. We study the local and global existence of solutions and we derive conditions which lead us to either the stability or instability of constant solutions.