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Bounded Solutions of Functional Integro-Differential Equations Arising from Heat Conduction in Materials with Memory
In this paper, we consider recurrent behavior of bounded solutions for a functional integro-differential equation arising from heat conduction in...
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Existence and uniqueness of S-asymptotically periodic α-mild solutions for neutral fractional delayed evolution equation
In this paper, we investigate a class of abstract neutral fractional delayed evolution equation in the fractional power space. With the aid of the...
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Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional...
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Stability of unique pseudo almost periodic solutions with measure
By means of the fixed-point methods and the properties of the ÎĽ -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential...
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On the Behavior of Solutions of Fractional Differential Equations on Time Scale Via Hilfer Fractional Derivatives
In this paper, we study the existence and stability of Hilfer-type fractional differential equations (dynamic equations) on time scales. We obtain...
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Stepanov-Almost Periodic Solutions of Non-autonomous Neutral Functional Differential Equations with Functional Delay
In this paper, we study the existence and uniqueness of Stepanov-almost periodic mild solution to the non-autonomous neutral functional differential...
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On a module containment theorem of piecewise continuous almost periodic functions and its application
This paper is concentrated on giving a module containment theorem for piecewise continuous almost periodic functions (pcap function for short). One...
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Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects
By applying the comparison theorem, Lyapunov functional, and almost periodic functional hull theory of the impulsive differential equations, this...
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Persistence and almost periodic solutions for a discrete ratio-dependent Leslie system with feedback control
In this paper, by utilizing the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, we consider the...
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Almost periodic solution for a delayed Lotka-Volterra system on time scales
This paper is concerned with a delayed Lotka-Volterra system on time scales. By using the theory of exponential dichotomy on time scales and fixed...
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PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations
In this paper, we introduce a PC-almost automorphic function and establish the composition theorem, which is an important result from application...
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Almost periodic solutions for a class of discrete systems with Allee-effect
In this paper, using Mawhin’s continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of...
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Weighted pseudo almost periodic solutions of N-th order neutral differential equations with piecewise constant arguments
In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N -th order neutral differential equations with...
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Square-mean almost periodic solutions to some stochastic evolution equations
This paper concerns the square-mean almost periodic mild solutions to a class of abstract nonautonomous functional integro-differential stochastic...
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Semi-periodic solutions of difference and differential equations
The spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity,...
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Asymptotically almost periodic solution to a class of Volterra difference equations
This paper is concerned with an asymptotically almost periodic solution to a class of Volterra-type difference equations. We establish a compactness...
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The existence of pseudo-almost periodic solutions of third-order neutral differential equations with piecewise constant argument
In this paper, we present some existence theorems for pseudo-almost periodic solutions of differential equations with piecewise constant argument by...