Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays

This paper considers the existence of periodic solutions for shunting inhibitory cellular neural networks (SICNNs) with neutral delays. By applying the theory of abstract continuation theorem ofk-set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.

Multiplicity results for systems of asymptotically linear second order equations

We prove the existence and multiplicity of solutions, with prescribed nodal properties, for a BVP associated with a system of asymptotically linear second order equations. The applicability of an abstract continuation theorem is ensured by upper and lower bounds on the number of zeros of each component of a solution.