Boundedness for impulsive delay differential equations and applications to population growth models. (Q1395842)

Here, the authors apply Lyapunov functions and Razumikhin techniques for the boundedness of the following impulsive functional-differential equation \[ \dot{x}(t)=f(t,x_t),\quad t\neq \tau_k, \qquad \Delta x(t)=I(t,x_t-), \quad t=\tau_k,\;\lim \tau_k=\infty. \] Applications to some population growth models with delays are also given.