Ioannis P. Stavroulakis

Iterative oscillation tests for differential equations with several non-monotone arguments

Sufficient oscillation conditions involving lim sup and lim inf for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples illustrating the significance of the results are also given.

Oscillations of difference equations with general advanced argument

AbstractConsider the first order linear difference equation with general advanced argument and variable coefficients of the form

Distribution of zeros of solutions to functional equations

\nabla x(n) - p(n)x(\tau (n)) = 0, n \geqslant 1,

Stability analysis with respect to two measures of impulsive systems under structural perturbations

where {p(n)} is a sequence of nonnegative real numbers, {τ(n)} is a sequence of positive integers such that

On the oscillation of solutions of higher order emden—fowler advanced differential equaitions

\tau (n) \geqslant n + 1, n \geqslant 1,

Oscillation of retarded difference equations with a non-monotone argument

and ▿ denotes the backward difference operator ▿x(n) = x(n) − x(n − 1). Sufficient conditions which guarantee that all solutions oscillate are established. Examples illustrating the results are given.