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Nonlinear Analysis : Modelling and Control
Number of Followers: 1

This is an Open Access Journal

Open Access journal
ISSN (Print) 1392-5113 - ISSN (Online) 2335-8963
Published by Vilnius University

[38 journals]

Existence theories and exact solutions of nonlinear PDEs dominated by
singularities and time noise
- Authors: Muhammad Ozair Ahmed Rishi Naeem Muhammad Akhtar Tarar Muhammad Sajid Iqbal Mustafa Inc Farkhanda Afzal
  Abstract: The current research deals with the exact solutions of the nonlinear partial differential equations having two important difficulties, that is, the coefficient singularities and the stochastic function (white noise). There are four major contributions to contemporary research. One is the mathematical analysis where the explicit a priori estimates for the existence of solutions are constructed by Schauder’s fixed point theorem. Secondly, the control of the solution behavior subject to the singular parameter ϵ when ϵ → 0. Thirdly, the impact of noise that is present in the differential equation has been successfully handled in exact solutions. The final contribution is to simulate the exact solutions and explain the plots.
  PubDate: Mon, 09 Jan 2023 14:55:20 +000
Global attractive set of neural networks with neutral item
- Authors: Xili Wu Liangwei Wang Zhengwen Tu Yuming Feng
  Abstract: This paper investigates the global attractive set of neural networks with neutral item. To better deal with the neutral terms, different types of activation functions are considered. Based on matrix measures, inequality techniques, and Lyapunov theory, three new types of Lyapunov functions are designed to find the global attractive set of the system. We give out a simulation example to verify the validity of theory results. The result is very inclusive, whether the system has equilibrium or not. As long as the system is stable, we can find its global attractive set.
  PubDate: Mon, 02 Jan 2023 09:45:56 +000

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