Impulsive differential equations are a basic instrument to study the dynamics of processes
that are subjected to sudden changes in their states. Recent development in the qualitative …

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at
certain instants during the evolution process. The mathematical description of these …

In this work, we study the impulsive periodic solutions of first-order singular ordinary
differential equations. The proof is based on a nonlinear alternative principle of Leray …

Many dynamic systems in physics, chemistry, biology, engineering, and information science
have impulsive dynamical behaviors due to abrupt jumps at certain instants during the …

This paper focuses on moment exponential stability of stochastic functional differential
equations with impulsive perturbations and Markovian switching. In contrast to the progress …

In this paper, we study a fractional impulsive differential equation with the (k, ψ)-Hilfer
fractional derivative operator. Some properties of the (k, ψ)-Riemann-Liouville fractional …

This paper studies the controllability and observability of a class of linear piecewise constant
impulsive systems. Necessary and sufficient criteria for reachability and controllability are …

In this paper, we study the sufficient conditions for the existence of solutions of first-order
Hamiltonian random impulsive differential equations under Dirichlet boundary value …

In this paper, we obtain some new existence results of solutions of impulsive differential
equations with periodic boundary conditions. The main tool that we use is critical point …

Many practical systems in physics, chemistry, biology, engineering, and information science
have impulsive dynamical behaviors due to abrupt changes at certain instants during the …