On the Global Practical Exponential Stability of h-Manifolds for Impulsive Reaction–Diffusion Cohen–Grossberg Neural Networks with Time-Varying Delays [PDF]
EntropyIn this paper, we focus on h-manifolds related to impulsive reaction–diffusion Cohen–Grossberg neural networks with time-varying delays. By constructing a new Lyapunov-type function and a comparison principle, sufficient conditions that guarantee the ...
Gani Stamov +3 more
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Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators [PDF]
Open Mathematics, 2020 In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
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On the h-manifolds for impulsive conformable neural networks with reaction–diffusion terms
Nonlinear AnalysisIn this paper, we consider a new class of conformable impulsive reaction–diffusion neural networks. The stable behavior of h-manifolds with respect to the model is investigated, and sufficient conditions are proposed by constructing suitable Lyapunov ...
Anatoliy Martynyuk +2 more
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Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds [PDF]
Fractal and Fractional, 2019 In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case ...
Gani Stamov +2 more
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Deep nonparametric regression on approximate manifolds: Nonasymptotic error bounds with polynomial prefactors [PDF]
Annals of Statistics, 2021 We study the properties of nonparametric least squares regression using deep neural networks. We derive non-asymptotic upper bounds for the prediction error of the empirical risk minimizer of feedforward deep neural regression.
Yuling Jiao +3 more
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h-Almost Ricci–Yamabe Solitons in Paracontact Geometry
Mathematics, 2022 In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient ...
Uday Chand De +2 more
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On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays [PDF]
Mathematics, 2020 The present paper is devoted to Bidirectional Associative Memory (BAM) Cohen–Grossberg-type impulsive neural networks with time-varying delays. Instead of impulsive discontinuities at fixed moments of time, we consider variable impulsive perturbations.
Gani Stamov +3 more
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On h-Quasi-Hemi-Slant Riemannian Maps
Axioms, 2022 In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal +4 more
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Primitive Roots of Unity in H-Manifolds [PDF]
American Journal of Mathematics, 1970 Let (M be a group with unit element e. An element g C (M is a k-th root of unity, for some integer ki ? 2, if gk e. If, in addition, gi j e for all j 1,2, 2 , Ic-i, then g is a primitive k-th root. The purpose of this paper is to show that, when (M is a compact connected Lie group, the structure of primitive roots of unity is, to a considerable extent,
Brown, R. F., Hales, A. W.
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A remark on elliptic differential equations on manifold
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
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