In this paper we prove the existence of positive solutions for a class of second order semipositone singular three-point boundary value problems. The results are obtained by the use of a… (More)

By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability in the mean square of… (More)

By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability of the Cohen-Grossberg… (More)

where k > 0 is a parameter, 1 2 6 g < 1 is a constant, f : 1⁄20; 1 R R! R is continuous, R 1⁄4 ð 1;þ1Þ. The nonlinear term is involved explicitly with the first-order derivative. Particularly, the… (More)

The dynamical behaviors of stochastic neural networks have appeared as a novel subject of research and applications, such as optimization, control, and image processing(see [1-12]). Obviously,… (More)

where f : (0, 1) × [0, +∞) → [0, +∞), g : [0, 1] × [0, +∞) → [0, +∞), 0 < ζ < 1, ς > 0, and ςζ < 1, f may be singular at t = 0 and/or t = 1. Under some rather simple conditions, by means of monotone… (More)

The wavefront profile and the propagation velocity of waves in an experimentally observed Belousov-Zhabotinskii reaction are analyzed and a revised FitzHumgh-Nagumo(FHN) model of these systems is… (More)