In this paper, using the contexts of C-class functions and common limitrange property, common fixed point result for some operator are obtained.Our results generalize several results in the existing literature. Some examplesare given to illustrate the usability of our approach.

This paper is devoted to numerical solutions for a class of jump-diffusions with regime switching. After briefly reviewing the notion of jump-diffusions with regime switching, finite-difference procedures are constructed. Under simple conditions, it is proved that the algorithm converges to the desired limit by means of a martingale problem formulation. Numerical experiments are carried out to ...

We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differentialdifference equations, difference equations and cellular automata (ultra-discrete equations). 25 February 2008 PACS numbers: ...

This paper revisits the impact of electoral accountability on total state expenditure and tax revenue with panel data from the 48 continental U.S. states from 1950 to 1999. Besides examining “traditional” tests of sensitivity, we present estimates from a difference-in-differences propensity score matching model (DD PSM) and a parametric difference-in-differences-in-differences approach (DDD) th...

Existence of global classical solutions of a class of reaction–diffusion systems with chemotactic terms is demonstrated. This class contains a system of equations derived recently as a continuous limit of the stochastic discrete cellular Potts model. This provides mathematical justification for using numerical solutions of this system for modeling cellular motion in a chemotactic field. © 2009 ...