We establish the existence of bounded, almost periodic solutions and asymptotically almost periodic solutions for functional difference equations with infinite delay on abstract phase space. An application to Volterra ...

Using Krasnoselskii's fixed point theorem, functional analysis methods and dichotomy theory, we study the existence and uniqueness of the periodic solutions of integrodifferential equations with bounded and unbounded delays.

This work concerns the existence of almost periodic solutions for certain di erential equations with piecewise constant arguments. The coef- cients of these equations are almost periodic and the equation can be seen as ...

© 2017 John Wiley & Sons, Ltd. Using the existence of integrable bi-almost-periodic Green functions of linear homogeneous differential equations and the contraction fixed point, we are able to prove the existence of almost ...

Using the notion of summable dichotomy in ordinary difference equations and the contraction and Schauder fixed point theorem, we obtain the existence of bounded and periodic solutions on ℤ under quite general hypotheses ...

The existence and uniqueness of pseudo-almost periodic functions (PAP) solutions was analyzed. The usefulness of the analysis is discussed. The notion of almost periodicity and pseudo-almost periodicity was also discussed ...

In this paper, some aspects on the periodic solutions of the extended Duffing–Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended ...

The Allen-Cahn equation - Delta u = u - u (3) in DOUBLE-STRUCK CAPITAL R-2 has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem -u '' =u - u (3). In this paper ...

A temporally global solution, if it exists, of a nonautonomous ordinary differential equation need not be periodic, almost periodic or almost automorphic when the forcing term is periodic, almost periodic or almost ...

This paper proposes an omega-periodic version of the Ellermeyer model of delayed chemostat. We obtain a sufficient condition ensuring the existence of a positive omega-periodic solution. Our proof is based on the application ...