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Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions
Neural Processing Letters, 2018In this paper, we propose a class of asymptotically almost periodic shunting inhibitory cellular neural networks with mixed delays and nonlinear decay functions. Without using the exponential dichotomy theory of linear differential equations, a set of easily verifiable sufficient conditions are established to show that every solution of the considered ...
Chuangxia Huang +4 more
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Quasi-Asymptotically Almost Periodic Vector-Valued Generalized Functions
Sarajevo Journal of Mathematics, 2020In this paper are introduced the notions of a quasi-asymptotically almost periodic distributions and quasi-asymptotically almost periodic ultradistributions with values in a Banach space, as well as some other generalizations of these concepts. Furthermore, some applications of the introduced concepts in the analysis of systems of ordinary differential
Kostić, Marko +2 more
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Kadets type and Loomis type theorems for asymptotically almost periodic functions
Journal of Differential Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui-Sheng Ding +3 more
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Asymptotically ρ-almost periodic type functions in general metric
Annals of the University of Craiova - Mathematics and Computer Science Series, 2022In this paper, we analyze various classes of multi-dimensional asymptotically ρ-almost periodic type functions in general metric. We clarify the main structural properties for the introduced classes of asymptotically ρ-almost periodic type functions, and provide some applications of our results to the abstract Volterra integro-differential equations.
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Asymptotically Almost Periodic Generalized Functions
2013The paper introduces an algebra of asymptotically almost periodic generalized functions of Colombeau type and gives their main ...
Chikh Bouzar, Mohammed Taha Khalladi
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Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity
Mathematische Nachrichten, 1988AbstractWe characterize the precompact sets in spaces of vector valued continuous functions and use the resulting criteria to investigate asymptotic behaviour of such functions defined on a halfline. This problem arose in the context of a qualitative study of solutions to the abstract Cauchy problem. We give particular consideration to the relationship
Ruess, W. M., Summers, W. H.
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2011 International Conference on Multimedia Technology, 2011
In this paper we study a class of nonlinear abstract functional differential equations with infinite delay. Some sufficient conditions for the existence and uniqueness of almost periodic and asymptotically almost periodic mild solutions for the equation are obtained by using the contraction fixed point theorem.
null Peng Xiao, null Yanfei Du
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In this paper we study a class of nonlinear abstract functional differential equations with infinite delay. Some sufficient conditions for the existence and uniqueness of almost periodic and asymptotically almost periodic mild solutions for the equation are obtained by using the contraction fixed point theorem.
null Peng Xiao, null Yanfei Du
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Nonlinear Analysis: Real World Applications, 2009
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Cybernetics and Systems Analysis, 2012
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Mathematical Physics, Analysis and Geometry, 1999
Asymptotic expansion of Bloch is applied to get the solution of the Kadomtsev-Petviashvili equation with \(C^{10}\) real periodic initial data. The block functions are parametrized by the spectral variety of a heat equation with an external potential.
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Asymptotic expansion of Bloch is applied to get the solution of the Kadomtsev-Petviashvili equation with \(C^{10}\) real periodic initial data. The block functions are parametrized by the spectral variety of a heat equation with an external potential.
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