Can monetary policy guide expectations toward desirable outcomes when equilibrium and welfare are sensitive to alternative, commonlyheld rational beliefs? We study this question in an exchange economy with endogenous debt limits in which dynamic complementarities between dated debt limits support two Pareto-ranked steady states: A sub-optimal, locally stable autarkic state, and a constrained op...

battery pack is the main energy storage element, and directly affects the performance of electric vehicle. this paper selects the forced air cooling of horizontal battery pack as the study object, and researches the heat dissipation performance of different operating conditions with fleunt software. results indicate that: according to the four kinds of transient state conditions and steady stat...

We consider the stability under adaptive learning dynamics of steady state equilibria in Diamond’s (1965) overlapping generations growth model with capital and money. Interior steady state equilibria of this model can be either dynamically inefficient or dynamically efficient. We show that a necessary condition for an equilibrium of this model to be stable under adaptive learning is that the eq...

The asymptotic behavior of the principal eigenvalue for general linear cooperative elliptic systems with small diffusion rates is determined. As an application, we show that if a cooperative system of ordinary differential equations has a unique positive equilibrium which is globally asymptotically stable, then the corresponding reaction-diffusion system with either the Neumann boundary conditi...

numerical solutions obtained by the meshless local petrov–galerkin (mlpg) method are presented for two-dimensional steady-state heat conduction problems. the mlpg method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. the penalty method is adopted to efficiently enforce the essential boundary co...

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

This paper deals with the convergence aspect of diffusive delay Lotka-Volterra systems with infinite delays. It is well known that such a system has a globally asymptotically stable steady state if the negative feedbacks of the intraspecific competitions are dominant and instantaneous. It is shown here that such a globally asymptotically stable steady state continues to exist even if the instan...

This paper is contributed to the study of the Cauchy problem <: ut = ∆u+K(|x|)up + μf(|x|) in Rn × (0, T ), u(x, 0) = φ(x) in Rn, u(x, 0) = φ(x) in Rn, with non-negative initial function φ 6≡ 0. We will study the asymptotic behavior and the semistability of the minimal positive steady state. In addition, we will prove that all slow decay positive steady states are stable and weakly asymptotical...

Designing of a PID controller is a very common method for industrial process control and due to its very simple and efficient function; it is used in a wide variety of industrial applications. PID controller to reduce the steady state error and dynamic response of the system is used. PID controller design is an inevitable problem in setting the coefficients need to try a lot of trial and error,...

We describe the evolution of productivity growth in a competitive industry with free entry and exit. The exogenous wage rate determines the firms’ engagement in labor productivity enhancing process innovation. There is a unique steady state of the industry dynamics, which is globally asymptotically stable. In the steady state, the number of active firms, their unit labor cost and supply depend ...