# Mathematica Moravica, Vol. 26, No. 2 (2022)

On the global uniform stability analysis of non-autonomous dynamical systems: A survey
Mathematica Moravica, Vol. 26, No. 2 (2022), 1–48.
Abstract. In this survey, we introduce the notion of stability of time varying nonlinear systems. In particular we investigate the notion of global practical exponential stability for non-autonomous systems. The proposed approach for stability analysis is based on the determination of the bounds of perturbations that characterize the asymptotic convergence of the solutions to a closed ball centered at the origin.
Keywords. Lyapunov theory, Perturbed systems, Practical stability.

Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations
Mathematica Moravica, Vol. 26, No. 2 (2022), 49–62.
Abstract. In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order $r\in(0,1)$. Our results are based on some fixed point theorem, nonlinear alternative of Leray-Schauder type and coupled lower and upper solutions.
Keywords. Fractional differential equation, Caputo-Fabrizio integral of fractional order, Caputo-Fabrizio fractional derivatives, Anti-periodic boundary value problem, Fixed point, Lower and upper solutions, coupled lower and upper solutions.

Weak preopen sets and weak bicontinuity in texture spaces
Mathematica Moravica, Vol. 26, No. 2 (2022), 63–71.