The study of power system oscillations is central to ensuring the stable and reliable operation of modern electrical grids, particularly as renewable energy sources are increasingly integrated.

The initial boundary value problem for an integro-differential equation with strong damping in a bounded domain is considered. The existence, asymptotic behavior and blow-up of solutions are discussed ...

In this paper, we present some criteria for the oscillation of the differential equation with damping (γ(t)x'(t))' + p(t)x'(t) + q(t)x(t) = 0, t ∈ [ t0, ∞), where p(t) and q(t) are allowed to change ...