Results 11 to 20 of about 1,369 (167)

High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay

Mathematics, 2022
One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin, Mahmoud A. Zaky, Ahmed S. Hendy, Ishak Hashim, Ahmed Aldraiweesh   +4 more
doaj   +1 more source

Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

Boundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal, Michael E. Filippakis, Donal O'Regan, Nikolaos S. Papageorgiou   +3 more
doaj   +1 more source

Classification of Chaotic Signals of the Recurrence Matrix Using a Convolutional Neural Network and Verification through the Lyapunov Exponent

Applied Sciences, 2020
This study classified chaotic time series data, including smooth and nonsmooth problems in a dynamic system, using a convolutional neural network (CNN) and verified it through the Lyapunov exponent. For this, the classical nonlinear differential equation
Jaehyeon Nam, Jaeyoung Kang
doaj   +1 more source

Nonstandard tools of nonsmooth analysis [PDF]

Journal of Applied and Industrial Mathematics, 2012
This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.
openaire   +3 more sources

Nonsmooth active control method for base-smart isolated structures with roller bearings

工程科学学报, 2019
In applied structural control technology, base-isolated technology has become popular due to its advantage of simple shock absorption, stable performance, and reasonable cost.
LIU Yan-hui, HUANG Xiang-yun, HUANG Xiao-fang, WANG Qing   +3 more
doaj   +1 more source

Saddle-Node Bifurcations of Power Systems in the Context of Variational Theory and Nonsmooth Optimization

IEEE Access, 2020
This paper presents a new concept for finding saddle-node bifurcation (SNB) points in voltage stability analysis of power systems by applying the extended functional method (EFM).
Pablo Daniel Paz Salazar, Yavdat Ilyasov, Luis Fernando Costa Alberto, Eduardo Coelho Marques Costa, Mauricio B. C. Salles   +4 more
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Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions

Journal of Applied Mathematics, 2023
The fifth-order accurate Weighted Essentially Nonoscillatory space discretization developed by Jiang and Shu (WENO-JS) is studied theoretically. An exact Nonlinear Spectral Method (NSM) is developed based on an innovative yet simple methodology.
Tamer H. M. A. Kasem
doaj   +1 more source

A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool

Heliyon, 2023
In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family of multifunctions to be metrically subregular which are stronger than the known sufficient ...
Matthieu Maréchal
doaj   +1 more source

Nonsmooth analysis and approximation

Journal of Approximation Theory, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Κανδυλακης Δημητριος(http://users.isc.tuc.gr/~dkandylakis), Kandylakis Dimitrios(http://users.isc.tuc.gr/~dkandylakis), Papageorgiou Nikolaos S()   +2 more
openaire   +3 more sources

A Neurodynamic Approach to Nonsmooth Quaternion Distributed Convex Optimization With Inequality and Affine Equality Constraints

IEEE Access, 2022
Quaternions have appeared in many practical fields, such as image processing and data mining, and so on. This paper focuses on designing an efficient quaternion-valued neurodynamic approach (QNA) based on multi-agent systems to solve nonsmooth convex ...
Guocheng Li, Linhua Luan, Sitian Qin, Jiqiang Feng   +3 more
doaj   +1 more source