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On Some Properties of Functions Almost Periodic at Infinity from Homogeneous Spaces
In this paper, we consider homogeneous spaces of functions defined on the whole real axis with values in a complex Banach space. A new class of...
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On Distributions That Are Almost Periodic at Infinity
This paper is devoted to the study of slowly varying and almost periodic at infinity distributions from harmonic spaces; a number of spaces of...
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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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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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Almost Automorphic Distributions
The paper deals with the concept of almost automorphy in the setting of Sobolev–Schwartz distributions. The definition, the characterizations and the...
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Pseudo almost automorphy of semilinear fractional differential equations in Banach Spaces
In this paper, we investigate the existence and uniqueness of ( μ,ν )-pseudo almost automorphic mild solutions to semilinear fractional differential...
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Pseudo Almost Automorphic Solution of Semilinear Fractional Differential Equations with the Caputo Derivatives
In this paper, we deal with existence and uniqueness of (µ, ?)-pseudo almost automorphic mild (classical) solution to semilinear fractional...
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Pseudo-almost Periodic and Pseudo-almost Automorphic Solutions to Evolution Equations in Hilbert Spaces
In this work we prove some existence and uniqueness results for pseudo-almost periodic and pseudo-almost automorphic solutions to a class of...
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Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive ∇-dynamic equations on time scales
In the present paper, by introducing the concept of equipotentially almost automorphic sequence, the concept of weighted piecewise pseudo almost...
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A generalization of amenability and inner amenability of groups
Let G be a locally compact group. We continue our work [A. Ghaffari: Γ-amenability of locally compact groups, Acta Math. Sinica, English Series, 26...
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Note on the Almost Periodic Stochastic Beverton–Holt Equation
In this paper almost periodic random sequence is defined and investigated. It is then applied to study the existence and uniqueness of the almost...
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Projections on weak*-closed subspace of dual Banach algebras
Our first purpose in this paper is to provide necessary conditions for a weak*-closed translation invariant subspace in the semigroup algebra of a...
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Bounded solutions to some classes of nonautonomous higher-order differential equations
In this paper we study and obtain under some reasonable assumptions the existence of bounded and pseudo-almost automorphic mild solutions to some...
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On character amenability of semigroup algebras
Let S be a foundation locally compact topological semigroup, and let M a ( S ) be the space of all measures μ ∈ M ( S ) for which the maps x ↦| μ |∗ δ ...
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Positive almost periodic solutions of some convolution equations
Consider a Hausdorff σ -compact, locally compact abelian group G . We are looking for positive almost periodic solutions of the following functional...
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Ellis Group and the Topological Center of the Flow Generated by the Map \({n \mapsto {\lambda^{n}}^{k}}\)
For each natural number k and each irrational member λ of the unit circle, it is proved that the shift-orbit closure X f of the function
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Reflexive representability and stable metrics
It is well-known that a topological group can be represented as a group of isometries of a reflexive Banach space if and only if its topology is...