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 ...

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 ...

This paper deals with a systematic study of the convolution operator Kf = f (*) k defined on weighted pseudo almost periodic functions space PAP(X, rho) and with k is an element of L-1(R). Upon making several different ...

© 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 ...

In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a ...

In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense ...

We consider the Poincare's classical problem of approximation for second order linear differential equations in the class of almost periodic type functions. We obtain an explicit form for solutions of these equations by ...

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 ...