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Qualitative Analysis of Differential, Difference Equations, and Dynamic Equations on Time Scales
2015
Abstract and Applied Analysis
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Han construct a suitable Lyapunov functional to prove the existence of antiperiodic solutions of impulsive Cohen-Grossberg neural networks with delays on time scales and to investigate global exponential ...
nonoscillation, solvability of boundary value problems, existence of periodic and almost periodic solutions, stability properties of solutions, and applications to real world phenomena. ...
Rogovchenko, Felix Sadyrbaev, and Qi-Ru Wang for their unfailing support with editorial work that ensured timely preparation of this special edition. ...
doi:10.1155/2015/643706
fatcat:uwp3zvk7snen7kcsm6hhutmgwu
Factorization of Scalar Piecewise Continuous Almost Periodic Functions
2021
Dynamic systems and applications
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As applications, the result is used to discuss piecewise continuous almost periodic solutions of impulsive differential equations. ...
This paper is to characterize piecewise continuous almost periodic functions as the product of Bohr almost periodic functions and sequences. ...
Acknowledgments Supported by The National Nature Science Foundation of China (No. 12001397, 11871007), The Nature Science Foundation of Tianjin City (No. 20JCQNJC00970). ...
doi:10.46719/dsa202130.09.02
fatcat:25um5hgydzbxzaiyhtoctqk5ue
Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects
2021
Advances in Difference Equations
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AbstractIn this study, we investigate the global exponential stability of Clifford-valued neural network (NN) models with impulsive effects and time-varying delays. ...
By taking impulsive effects into consideration, we firstly establish a Clifford-valued NN model with time-varying delays. ...
with regard to jurisdictional claims in published maps and institutional affiliations. ...
doi:10.1186/s13662-021-03367-z
fatcat:2a4ouenesbf4dknhhyozfhbx6q
Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument
2018
Electronic Journal of Qualitative Theory of Differential Equations
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In this paper we study a periodic impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. ...
Examples with constant and nonconstant coefficients are simulated, illustrating the effectiveness of the results. ...
Acknowledgements Manuel Pinto thanks for the support of Fondecyt projects 1120709 and 1170466. Ricardo Torres thanks for the support of Fondecyt project 1120709 and VRIP UFRO's Fellowship for Ph.D. ...
doi:10.14232/ejqtde.2018.1.34
fatcat:gbco3j4lgfdurawcbh7rahxboq
Book reports
1991
Computers and Mathematics with Applications
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An almost groupoid structure for the space of (open) strings and implications for string field theory. 15. Steenrod squares of polynomials. Neural Network Design and the Complexity o.f Learning. ...
Asymptotics of integrals, series, and operators. 3. Asymptotic expansions for the coefficient functions associated with linear second-order differential equations: The simple pole case. 4. ...
doi:10.1016/0898-1221(91)90249-4
fatcat:3teedn2nwbetnmdkl4v74jupha
Generalized ρ-Almost Periodic Sequences and Applications
2023
Fractal and Fractional
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In this paper, we analyze the Bohr ρ-almost periodic type sequences and the generalized ρ-almost periodic type sequences of the form F:I×X→Y, where ∅≠I⊆Zn, X and Y are complex Banach spaces and ρ is a ...
We provide many structural results, observations and open problems about the introduced classes of ρ-almost periodic sequences. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/fractalfract7050410
fatcat:ismedvyjazhk7mqyglu2tiqpuq
Global Stability of Integral Manifolds for Reaction–Diffusion Delayed Neural Networks of Cohen–Grossberg-Type under Variable Impulsive Perturbations
2020
Mathematics
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The present paper introduces the concept of integral manifolds for a class of delayed impulsive neural networks of Cohen–Grossberg-type with reaction–diffusion terms. ...
We establish new existence and boundedness results for general types of integral manifolds with respect to the system under consideration. ...
For example, in [30] the authors studied some fundamental and stability properties of asymptotic almost automorphic solutions for impulsive delayed CGNNs. ...
doi:10.3390/math8071082
fatcat:ozushv7fgfdotl6pb6vn34awxu
Fourier's Method of Linear Programming and Its Dual
1986
The American mathematical monthly
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35B08
Entire solutions
35B09
Positive solutions
35B10
Periodic solutions
35B15
Almost and pseudo-almost periodic solutions
35B20
Perturbations
35B25
Singular perturbations
35B27
Homogenization ...
of solutions
35C20
Asymptotic expansions
35C99
None of the above, but in this section
35Dxx
Generalized solutions
35D30
Weak solutions
35D35
Strong solutions
35D40
Viscosity solutions
35D99 ...
, canonical formalism, Cauchy problems) 83C10 Equations of motion 83C15 Exact solutions 83C20 Classes of solutions; algebraically special solutions, metrics with symmetries 83C22 Einstein-Maxwell equations ...
doi:10.2307/2322281
fatcat:yvhgyh2epbcwdoqdhuaopkcrue
The International Conference MATHEMATICAL AND COMPUTATIONAL MODELLING IN SCIENCE AND TECHNOLOGY
2017
Journal of Computational and Applied Mathematics
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The existence of a unique weak solution for the problem is established using arguments of nonlinear evolution equations with monotone operators, a classical existence and uniqueness result for parabolic ...
We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. ...
This work aims to develop a fully Bayesian Artifical Neural Network (ANN) emulator for high dimensional outputs. ...
doi:10.1016/j.cam.2016.08.013
fatcat:mcmx2fnpkbeztpweuwk6ugyluu
Mathematical Frameworks for Oscillatory Network Dynamics in Neuroscience
2016
Journal of Mathematical Neuroscience
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In this review we present a set of mathematical tools that are suitable for addressing the dynamics of oscillatory neural networks, broadening from a standard phase oscillator perspective to provide a ...
practical framework for further successful applications of mathematics to understanding network dynamics in neuroscience. ...
SC was supported by the European Commission through the FP7 Marie Curie Initial Training Network 289146, NETT: Neural Engineering Transformative Technologies. ...
doi:10.1186/s13408-015-0033-6
pmid:26739133
pmcid:PMC4703605
fatcat:m2sisazz2ndqvb76b23kivib7m
Page 615 of Mathematical Reviews Vol. 31, Issue Index
[page]
Mathematical Reviews
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., 99k:34102
Shen, Wen Xian (with Yi, Yingfei) Almost automorphic and almost periodic dynamics in skew-product semiflows. ...
(English summary) 99¢:34096
Chamberland, Mare Global asymptotic stability, additive neural networks, and the Jacobian conjecture. (English summary) 99k:34101
Cheban, D. N. ...
On a Class of Meromorphic Functions Related to Cho-Kwon-Srivastava Operator
2012
ISRN Applied Mathematics
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by means of an operator given by Ghanim and Darus, in U={z:0<|z|<1}, and investigate a number of inclusion relationships of these classes. ...
We introduce new classes, Σn,λ*,μ,k(α,β,ρ) and Σn,λμ,k(α,β,ρ), of meromorphic functions defined by means of the Hadamard product of Cho-Kwon-Srivastava operator, and we define here a similar transformation ...
Al-Zahrani Continuous-time additive Hopfield-type neural networks with impulses, Journal of Mathematical Analysis andApplications, 290 (2004), 436-451. цитирана в: Asymptotic stability of impulsive reaction-diffusion ...
doi:10.5402/2012/272678
fatcat:kn3oeobqmzh7tgbpns35eeyy4u
III Advanced Topics
[chapter]
2016
Soft Computing Applications in Sensor Networks
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To do this, let us first consider the AND problem and its possible solution with a neural network. ...
Multilayer feed forward neural networks: Figure 2 .14 shows a multilayer feed forward neural network with a configuration of l − m − n. ...
In [16] , automorphism partition is done to differentiate nodes tering coefficient, number of cycles which pass through the node and length of the longest path starting from the node. ...
doi:10.1201/9781315372020-13
fatcat:ze5voikcfbfi5lubz5t5oismua
Page 727 of Mathematical Reviews Vol. , Issue Subject Index
[page]
Mathematical Reviews
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., 2001f:34016
Danciu, Daniela (with Rasvan, Viadimir) On Popov-type stability criteria for neural networks. ...
Russian summary)
Gui, Zhanji (with Jia, Jing) Global asymptotic stability of n-dimensional Lotka-Volterra chain systems with periodic coefficients. ...
Page 1172 of Mathematical Reviews Vol. , Issue Index
[page]
Mathematical Reviews
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Soc., Providence, RI, \997 (Summary) 98a:62009 62B10
— (with Combe, Ph.) Information geometry and learning in formal neural networks. ...
An asymptotic solution of a nonstationary problem of heat conduction with a nonlinear condition of exponential type on a moving boundary (Russian) Dokl. Akad. ...
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