Let ∆ n be the ball |x| < 1 in the complex vector space C n , let f : ∆ n → C n be a holomorphic mapping and let M be a positive integer.
A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations z n1 t n z n−1 a/t n z n−1 , t n1 z n t n−1 a/z n t n−1
Social relationships such as friendship and partner choice are ruled by the proximity principle, which states that the more similar two individuals are, the more likely they will become friends. However, proximity, similarity, and friendship are concepts with blurred edges and imprecise grades of membership. This study shows how to simulate these friendship… (More)
In this paper, using fixed point theorem in cones and a transformation y (t) = t 0 1 p(s) z (s) ds, we establish some existence results for singular second order boundary value problems of the form py + p (t) q (t) f t, y, py = 0, 0 < t < 1, where f (t, y, z) is allowed to be singular at y = 0 and z = 0.
Copyright q 2010 Chang-you Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We study the global asymptotic stability of the equilibrium point for the fractional difference equation… (More)
Recommended by Guang Zhang This paper studies the existence and global asymptotical stability of periodic PC-mild solution for the T-periodic logistic system with time-varying generating operators and T 0-periodic impulsive perturbations on Banach spaces. Two sufficient conditions that guarantee the exponential stability of the impulsive evolution operator… (More)
OBJECTIVES The white blood cell (WBC) count is a simple and convenient marker of inflammation for use in medical practice; however, its association with non-alcoholic fatty liver disease (NAFLD) has not been determined. We examined the relationship between WBC and NAFLD to provide a convenient and useful marker for the prediction of NAFLD. SETTING A… (More)
In this paper we regard legged locomotion (e.g., running) as adaptive vibration, which is capable of adapting to changes in internal parameters and in the external environment. We propose control concepts for such adaptive running in general, and present a theoretical study of the bounding locomotion of a quadruped robot according to the proposed control… (More)