Some Remarks on 'Almost Periodic Dynamics of a Class of Delayed Neural Networks with Discontinuous Activations'

摘要

There are some incorrect uses of mathematical terminology and typos in previous papers. We rewrite them precisely here. In Lu, Wenlian, Chen, and Tianping (2008), we studied the following class of delayed differential equations: du_i(t)/dt=-d_i(t)u_i(t)+n∑j=1a_(ij)(t)g_j(u_j(t))+n∑j=1∫~∞_0g_i(u_j(t-s)+I_i(t),+1,…,n(1) where d_j(t), a_(ij)(t), I_i(t), I, j = 1,…, n, are some functions;g_i(•), I = 1,…,n, are some nondecreasing discontinuous functions for any t € R, dK_(ij)(t,s); and I, j = 1,…, n, are Lebesgue-Stieljies measures with respect to s. We have noticed some misuse of mathematical terminology in this previous letter, and rewrite them precisely here.