## Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity

### Summary

Summary: We obtain sufficient conditions for oscillation of solutions, and for asymptotical stability of the positive equilibrium, of the scalar nonlinear delay differential equation $$\frac{dN}{dt} = r(t)N(t)\Big[a-\Big(\sum_{k=1}^m b_k N(g_k(t)) \Big)^{\gamma}\Big],$$ where $g_k(t)\leq t$.

### Mathematics Subject Classification

34K11, 34K20, 34K60

### Keywords/Phrases

delay differential equations, richard's nonlinearity, oscillation, stability