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Global attractivity and persistence in a discrete population model
(2000)
We study the attractivity properties of equilibrium points of the scalar delay difference equation xn+1-xn= -δxn+pf(xn-k) which arises in many contexts in the ecology. New sufficient conditions for the global stability of ...
Almost automorphic delayed differential equations and Lasota-Wazewska model
(Southwest Missouri State University, 2017)
Existence of almost automorphic solutions for abstract delayed differential equations is established. Using ergodicity, exponential dichotomy and Bi-almost automorphicity on the homogeneous part, sufficient conditions for ...
Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
(University of Szeged, 2014)
Abstract. In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of ...
Periodic solutions of differential equations with a general piecewise constant argument and applications
(UNIV SZEGED, BOLYAI INSTITUTE, 2010)
In this paper we investigate the existence of the periodic solutions
of a quasilinear differential equation with piecewise constant argument
of generalized type. By using some fixed point theorems and some new
analysis ...
Existence of (N, λ)-periodic solutions for sbstract fractional difference equations
(Birkhauser Verlag BaselSwitzerland, 2022)