This paper develops an analysis of budget deficit financing in termsof a crowding out or crowding in effect on the activity of the privatesector for the economies of Iran and Algeria as two MENA countries,(because of its economic structures (dependence on oil revenue)) duringthe period 1970-2012 by using Cointegration and Vector ErrorCorrection approaches. The analysis confirms the existence of...

semilinear stochastic evolution equations with multiplicative l'evy noise are considered‎. ‎the drift term is assumed to be monotone nonlinear and with linear growth‎. ‎unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎we establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎as corollarie...

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking arguments. The range of important applications of these results is enormous. This article is a self-cont...

We consider a mixed problem with Dirichlet and integral conditions for a second-order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formu...

<p style='text-indent:20px;'>In this paper, we investigate a source identification problem for class of abstract nonlocal differential equations in separable Hilbert spaces. The existence mild solutions and strong the identifying parameter are obtained. Furthermore, study continuous dependence on data regularity equations. Examples given anomalous diffusion illustrate results.</p>

walking being the oldest form of urban transport, and until the advent of major transformationsin transport technology in the nineteenth century, most cities were structured in ways that supported walkability.today, there is a change in transportation which emphasizes, the traditional pedestrian paths which are increasinglybecoming non-regulated spaces when compared to the urban spaces for auto...

We investigate the Dirichlet problem for the parablic equation ut = ∆u , m > 0, in a non-smooth domain Ω ⊂ RN+1, N ≥ 2. In a recent paper [U.G. Abdulla, J. Math. Anal. Appl., 260, 2 (2001), 384-403] existence and boundary regularity results were established. In this paper we present uniqueness and comparison theorems and results on the continuous dependence of the solution on the initial-bounda...

Multispectral bioluminescence tomography (BLT) attracts increasingly more attention in the area of optical molecular imaging. In this paper, we analyze the properties of the solutions to the regularized and discretized multispectral BLT problems. First, we show the solution existence, uniqueness, and its continuous dependence on the data. Then, we introduce stable numerical schemes and derive e...

This paper deals with 2 × 2 conservation laws at a junction. For the Cauchy problem, existence, uniqueness and Lipschitz continuous dependence of the solution from the initial data as well as from the conditions at the junction are proved. The present construction comprehends the case of the p-system used to describe gas flow in networks and hereby unifies different approaches present in the li...