Oscillation properties of two following equations are compared: a scalar nonlinear delay differential equation y(t) + ∑k=1 rk(t) fk[y(hk(t))] = 0 with rk(t) ≥ 0, hk(t) ≤ t, and a linear delay differential equation x(t) + ∑k=1m rk(t)x(t)) = 0. Coefficients rk(t) and delays are not assumed to be continuous. As an application, explicit oscillation and nonoscillation conditions are established for nonlinear equations arising in population dynamics.
- Equations of population dynamics
- Linearized theory
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics