Learn More
and Applied Analysis 3 Theorem 4. Assume that (H 1 )–(H 6 ) and (7) hold. If there exists a function ξ(t) ∈ C rd(T , (0,∞)) such that for any positive numberM, lim t→∞ ∫ t t0 (ξ (s) p (s) − Q (s)) Δs = ∞, (12) where p (s) = q (s) [1 − p (δ (s))] β , Q (s) = αM(R (σ (s))) α−β r (δ (s)) ((ξ Δ (s)) + ) α+1 (α + 1) α+1 βξ (s) (δ (s)) α , (ξ Δ (s)) + := max {ξΔ(More)
In this work, inspired by the reality in organisms and particularly the shape of axon of the neuron, new mathematical models of regulation of kinase activity are presented. In the view of mathematicians, those models are diffusion equations defined in finite cylinders but with mixed Robin boundary and Dirichlet boundary conditions. The first part of the(More)
Abstract In this paper, we have introduced the S-type distributed delays into the Cohen-Grossberg neural networks since this type of delays may arise in practice and is more general than usual type of distributed delays. In order to use the topological degree method in providing the existence of the equilibrium except for zero equilibrium, some new analysis(More)
  • 1