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20012019
most citedAlmost periodic evolution systems with impulse action at state-dependent moments

27 citations · 36 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2019★ 3 cited

Bounded and Almost Periodic Solvability of Nonautonomous Quasilinear Hyperbolic Systems

Irina Kmit, Lutz Recke, Viktor Tkachenko

The paper concerns boundary value problems for general nonautonomous first order quasilinear hyperbolic systems in a strip. We construct small global classical solutions, assuming…

math.DS2016

Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action

Viktor Tkachenko

In an abstract Banach space we study conditions for the existence of piecewise continuous, almost periodic solutions for semi-linear impulsive differential equation with fixed and…

math.DS2015★ 27 cited

Almost periodic evolution systems with impulse action at state-dependent moments

Robert Hakl, Manuel Pinto, Viktor Tkachenko +1

We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present…

math.DS2013★ 5 cited

Global attractivity in almost periodic single species models

Y. M. Myslo, V. I. Tkachenko

Using properties of asymptotically almost periodic solutions we prove existence theorem for piece-wise continuous almost periodic solutions of differential equations with delay and…

math.DS2001★ 1 cited

A global stability criterion for scalar functional differential equations

E. Liz, V. Tkachenko, S. Trofimchuk

We consider scalar delay differential equations with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condit…