Almost periodic solutions for an impulsive delay model of price fluctuations in commodity markets

In the present paper, we shall consider the following impulsive delay system for modeling the price fluctuations in single-commodity markets: {ṗ(t)=F(p(t),p(t−h))p(t),t≠τk,p(t)=φ0(t),t∈[t0−h,t0],Δp(t)=Ik(p(t)),t=τk,k∈Z. Sufficient conditions are established for the existence of almost periodic solutions for this system. Piecewise continuous functions of the Lyapunov type as well as the Razumikhin technique have been utilized to prove our main results.