For a family of single-species delayed population models, a new global stability condition is found. This condition is sharp and can be applied in both monotone and nonmonotone cases. Moreover, the consideration of variable ...

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 ...

Sufficient conditions are derived for the existence of a globally attractive almost periodic solution of a single species model given by the nonautonomous Lasota-Wazewska-type delay differential equations,x′t=-δtxt+ptfxt-τ,in ...

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 ...

In this paper we study a new class of functions, which we call (ω, c) -pseudo periodic functions. This collection includes pseudo periodic, pseudo anti-periodic, pseudo Bloch-periodic, and unbounded functions. We prove ...

In this paper, we study a new class of functions, which we call (omega, c)-asymptotically periodic functions. This collection includes asymptotically periodic, asymptotically antiperiodic, asymptotically Bloch-periodic, ...

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 ...

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 ...