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  1. Article

    Open Access

    Criteria of asymptotic ω-periodicity and their applications in a class of fractional differential equations

    In this paper we first characterize the (Stepanov) asymptotically ω-periodic functions. Then we apply the criteria obtained to investigate the existence and uniqueness of asymptotically ω-periodic mild solutions ...

    Rui **e, Chuanyi Zhang in Advances in Difference Equations (2015)

  2. Article

    Open Access

    Pseudo almost periodic weak solutions of a semilinear elliptic equation

    In this paper, pseudo almost periodic functions on R N ...

    Desheng Ji, Chuanyi Zhang in Advances in Difference Equations (2014)

  3. Article

    Open Access

    Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations

    In this paper, we introduce the concept of piecewise pseudo almost periodic functions on a Banach space and establish some composition theorems of piecewise pseudo almost periodic functions. We apply these com...

    Junwei Liu, Chuanyi Zhang in Advances in Difference Equations (2013)

  4. Article

    Open Access

    Existence and stability of almost periodic solutions for impulsive differential equations

    In this article, by using Schauder's fixed point theorem, we study the existence of almost periodic solutions for abstract impulsive differential equations. In addition, sufficient conditions for their asympto...

    Junwei Liu, Chuanyi Zhang in Advances in Difference Equations (2012)

  5. Article

    Open Access

    Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems

    The existence and uniqueness of a slowly oscillating solution to parabolic inverse problems for a type of boundary value problem are established. Stability of the solution is discussed.

    Fenglin Yang, Chuanyi Zhang in Boundary Value Problems (2010)

  6. Article

    Open Access

    On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument

    The spectrum containment of almost periodic solution of second-order neutral delay differential equations with piecewise constant of argument (EPCA, for short) of the form

    Li Wang, Chuanyi Zhang in Advances in Difference Equations (2009)

  7. Article

    Open Access

    Almost-Periodic Weak Solutions of Second-Order Neutral Delay-Differential Equations with Piecewise Constant Argument

    We investigate the existence of almost-periodic weak solutions of second-order neutral delay-differential equations with piecewise constant argument of the form

    Li Wang, Chuanyi Zhang in Advances in Difference Equations (2008)

  8. No Access

    Article

    Strong Limit Power Functions

    A new C*-algebra of strong limit power functions is proposed. The Gelfand space of the C*-algebra is endowed with an Abelian compact group structure. As applications of this, Fourier analysis and the Bochner-Fejé...

    Chuanyi Zhang in Journal of Fourier Analysis and Applications (2006)