Global Stabilization of Delayed Feedback Financial System Involved in Advertisement under Impulsive Disturbance

Diffusion is an inevitable important factor in advertising dynamic systems. However, previous literature did not involve this diffusion factor, and only involved the local stability of model. This paper develops a global criterion for impulsive model with feedback term under influence diffusion. Since requires unique existence equilibrium points, variational methods are employed to solve it infinite dimensional function space, then system derived by way impulse inequality lemma orthogonal decomposition class Sobolev spaces. Numerical simulations verify effectiveness proposed method.