A LYAPUNOV FUNCTION FOR GENERALIZED LOGISTIC EQUATION ON TIME SCALES

Lyapunov Function and Exponential Trichotomy on Time Scales

Lyapunov-type inequality for a higher order dynamic equation on time scales

The purpose of this work is to establish a Lyapunov-type inequality for the following dynamic equation [Formula: see text]on some time scale T under the anti-periodic boundary conditions [Formula: see text], where [Formula: see text] for [Formula: see text] and [Formula: see text], [Formula: see text] with [Formula: see text] and [Formula: see text], p is the quotient of two odd positive intege...

Positive Periodic Solutions in Shifts δ± for a Neutral Delay Logistic Equation on Time Scales

where a, β, b, c, τ are nonnegative continuous periodic functions. Since then, different classes of neutral functional differential and difference equations have been extensively studied; see, for example, [2-5]. However, in the natural world, there are many species whose developing processes are both continuous and discrete. Hence, using the only differential equation or difference equation ca...

On Oscillation of a Generalized Logistic Equation with Several Delays

Generalized Time Scales

Calculus on time scales was established in 1988 by Stefan Hilger. It includes both the classical derivative and the forward difference operator as special cases. It also includes Riemann integrals and finite sums as inverse operations. However, it does not include the Jackson q-difference operator on R and the Jackson q-integral on R. Also, it does not include neither the difference operator on...