Oscillation Properties of a Logistic Equation with Several Delays

Oscillation of a Logistic Difference Equation with Several Delays

Difference equations provide an important framework for analysis of dynamical phenomena in biology, ecology, economics, and so forth. For example, in population dynamics discrete systems adequately describe organisms for which births occur in regular, usually short, breeding seasons. Recently the problem of oscillation and nonoscillation of solutions for nonlinear delay difference equations has...

On Oscillation of a Generalized Logistic Equation with Several Delays

Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays

In this paper, we study oscillatory properties of solutions for the nonlinear impulsive hyperbolic equations with several delays. We establish sufficient conditions for oscillation of all solutions.

Positive solutions for a scalar differential equation with several delays

For a scalar delay differential equation ẋ(t) + ∑m k=1 ak(t)x(hk(t)) = 0, hk(t) ≤ t, we obtain new explicit conditions for the existence of a positive solution. c © 2007 Elsevier Ltd. All rights reserved.

Oscillation of Delay Differential Equation with Several Positive and Negative Coefficients

Some sufficient conditions for oscillation of a first order nonautonomuous delay differential equation with several positive and negative coefficients are obtained.