4 papers · 1 filter
Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type
Fatma Tokmak Fen, Mehmet Onur Fen, Eman Bakır Ahmad Ajm
This study is devoted to anti-periodic solutions of quasilinear impulsive systems with piecewise constant argument of generalized type. We rigorously prove the existence and unique…
Homoclinic and Heteroclinic Trajectories of Differential Equations with Piecewise Constant Arguments of Generalized Type
Mehmet Onur Fen, Fatma Tokmak Fen
Quasilinear systems with piecewise constant arguments of generalized type are under investigation from the asymptotic point of view. The systems have discontinuous right-hand sides…
Asymptotically Unpredictable Solutions of Quasilinear Impulsive Systems with Regular Discontinuity Moments
Mehmet Onur Fen, Fatma Tokmak Fen
The notion of asymptotic unpredictability was recently introduced in (Commun. Nonlinear Sci. Numer. Simul. 134, 108029, 2024) for semiflows. Likewise unpredictable trajectories, as…
Unpredictability in Perturbed Quasilinear Systems with Regular Moments of Impulses
Mehmet Onur Fen, Fatma Tokmak Fen
It is rigorously proved that quasilinear impulsive systems possess unpredictable solutions when a perturbation generated by an unpredictable sequence is applied. The existence, uni…