2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo, 
BC, Canada.
Electronic Journal of Differential Equations,
Conference 12, 2005, pp. 21-17. 

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

Authors: Leonid Berezansky (Ben-Gurion Univ. of the Negev, Israel)
         Lev Idels  (Malaspina Univ., Nanaimo, BC, Canada)
 
Abstract: 
 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$.

Published April 20, 2005.
Math Subject Classifications: 34K11, 34K20, 34K60.
Key Words: Delay differential equations; Richard's nonlinearity; 
oscillation; stability.