An efficient method, called the perturbation-incremental scheme (PIS), is proposed to study,
both qualitatively and quantitatively, the delay-induced weak or high-order resonant double …

In this paper, the stability of complex-valued impulsive and switching system is addressed.
By using switched Lyapunov functions on a complex field, some new stability criteria of …

Since many systems such as quantum system, complex-valued neural network and Lorenz
system are complex-valued differential system, in this paper, the stability of complex-valued …

Since a quantum system, which is one of the foci of ongoing research, is a classical example
of a complex-valued system, in this paper, the issue of asymptotic stability of solutions to …

A delayed discrete equation Δ u (k+ n)=− p (k) u (k) with positive coefficient p is considered.
Sufficient conditions with respect to p are formulated in order to guarantee the existence of …

The asymptotic behaviour of the solutions of a real two-dimensional system x′= A (t) x (t)+ B
(t) x (tr)+ h (t, x (t), x (tr)), where r> 0 is a constant delay, is studied under the assumption of …

The asymptotic properties of a real two-dimensional differential system x′(t)= A (t) x (t)+∑
k= 1mBk (t) x (θk (t))+ h (t, x (t), x (θ1 (t)),…, x (θm (t))) with unbounded nonconstant delays t …

The asymptotic behaviour and stability properties are studied for a real two‐dimensional
system x′(t)= A (t) x (t)+ B (t) x (θ (t))+ h (t, x (t), x (θ (t))), with a nonconstant delay t‐θ (t)≥ 0 …

Memoirs on Differential Equations and Mathematical Physics ASYMPTOTIC PROPERTIES OF
SOLUTIONS OF REAL TWO-DIMENSIONAL DIFFERENTI Page 1 Memoirs on Differential …

The paper is devoted to the study of asymptotic properties of a real two‐dimensional
differential system with unbounded nonconstant delays. The sufficient conditions for the …