Trinh, "Existence and global asymptotic stability of positive periodic
solution of delayed Cohen-Grossberg neural networks," Applied Mathematics and Computation, vol.
In particular, g(t) is called double periodic
as k = 2, and it becomes periodic
with the period T if and only if [T.sub.j] = [m.sub.j]T.
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Our main task in this paper is to answer the question: When has the formulated periodic
histopolation problem aunique solution for any given values [z.sub.i], i = 1,...
In the previous mentioned periodic
algorithms, the self-coupling block elements are calculated by a direct MoM method which is not efficient for a large array unit.
Only when [[bar.q].sub.4], [[bar.p].sub.4] are equal to zero, system (9) has periodic
We will study the existence and stability property of the periodic
solution of system (2) in the next section and discuss the existence of the periodic
solution of system (1) on Section 4.
The aim of the paper is to show that sign condition plays dominate role on the existence of periodic
solutions of (1) under the condition that g is asymptotically linear.
Many theorems and methods of nonlinear functional analysis have been applied to the periodic
problems of (2), such as the upper and lower solutions method and monotone iterative technique [1-4], the continuation method of topological degree [5-9], variational method and critical point theory [10-14], method of phase-plane analysis [15-19], the Krasnoselskii's type fixed point theorem in cone [20-23], and the theory of fixed point index [24-26].