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Open AccessCriteria 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 ...
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Article
Open AccessPseudo almost periodic weak solutions of a semilinear elliptic equation
In this paper, pseudo almost periodic functions on R N ...
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Article
Open AccessComposition 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...
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Article
Open AccessExistence 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...
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Article
Open AccessSlowly 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.
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Article
Open AccessOn 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
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Article
Open AccessAlmost-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
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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...