Ayman M. Mahmoud
@nvu.edu.eg
Mathematics Department, Faculty of Science, New Valley University.
New valley university
RESEARCH INTERESTS
• Ordinary Differential Equations
• Functional and Delay Differential Equations
• Stochastic Differential Equations
• Stochastic Delay Differential Equations
Qualitative Properties - • Control System - Time delay system
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
A. M. Mahmoud, D. A. Eisa, R. O. A. Taie, and D. A. M. Bakhit
Springer Science and Business Media LLC
AbstractIn the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative properties of solutions to third-order delay differential equations (DDEs) and SDEs with multi-delay. Two examples are given to illustrate the results.
Ayman M. Mahmoud and Cemil Tunç
Springer Science and Business Media LLC
AbstractIn this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE).To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.
Ayman M. Mahmoud, Adebayo O. Adewumi, and Adeleke T. Ademola
Springer Science and Business Media LLC
AbstractIn this paper, we present sufficient conditions to ensure the stochastic asymptotic stability of the zero solution for a specific type of fourth-order stochastic differential equation (SDE) with constant delay. By reducing the fourth-order SDE to a system of first-order SDEs, we utilize a fourth-order quadratic function to derive an appropriate Lyapunov functional. This functional is then employed to establish standard criteria for the nonlinear functions present in the SDE. The stability result obtained in this study is novel and extends the existing findings on stability in fourth-order differential equations. Additionally, we provide an illustrative example to demonstrate the significance and accuracy of our main result.
Emad A.‐B. Abdel‐Salam, Ayman M. Mahmoud, and Romany F. Mansour
Wiley
AYMAN MOHAMMED MAHMOUD and DOAA ALI MOHAMED BAKHIT
The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS
Ayman M. Mahmoud and Adeleke T. Ademola
Springer Science and Business Media LLC
AbstractThis article demonstrates the behaviour of solutions to a kind of nonlinear third order neutral stochastic differential equations. Setting $x^{\\prime }(t)=y(t)$ x ′ ( t ) = y ( t ) , $y^{\\prime }(t) =z(t)$ y ′ ( t ) = z ( t ) the third order differential equation is ablated to a system of first order differential equations together with its equivalent quadratic function to derive a suitable downright Lyapunov functional. This functional is utilised to obtain criteria which guarantee stochastic stability of the trivial solution and stochastic boundedness of the nontrivial solutions of the discussed equations. Furthermore, special cases are provided to verify the effectiveness and reliability of our hypotheses. The results of this paper complement the existing decisions on system of nonlinear neutral stochastic differential equations with delay and extend many results on third order neutral and stochastic differential equations with and without delay in the literature.
Ashwani Prasad, Amit Kumar Tyagi, Maha M. Althobaiti, Ahmed Almulihi, Romany F. Mansour, and Ayman M. Mahmoud
MDPI AG
Human Activity Recognition (HAR) has become an active field of research in the computer vision community. Recognizing the basic activities of human beings with the help of computers and mobile sensors can be beneficial for numerous real-life applications. The main objective of this paper is to recognize six basic human activities, viz., jogging, sitting, standing, walking and whether a person is going upstairs or downstairs. This paper focuses on predicting the activities using a deep learning technique called Convolutional Neural Network (CNN) and the accelerometer present in smartphones. Furthermore, the methodology proposed in this paper focuses on grouping the data in the form of nodes and dividing the nodes into three major layers of the CNN after which the outcome is predicted in the output layer. This work also supports the evaluation of testing and training of the two-dimensional CNN model. Finally, it was observed that the model was able to give a good prediction of the activities with an average accuracy of 89.67%. Considering that the dataset used in this research work was built with the aid of smartphones, coming up with an efficient model for such datasets and some futuristic ideas pose open challenges in the research community.
Ayman M. Mahmoud and Cemil Tunc
Mathematical Notes
Ahmed Mohamed ABOU-EL-ELA, Abdel-Rahiem SADEK, Ayman Mohammed MAHMOUD, and Eman Sayed FARGHALY
The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS
In this paper, sufficient criteria that guarantee the existence of stochastic asymptotic stability of the zero solution of the nonautonomous second-order stochastic delay differential equation (1.1) were established with the aid of a suitable Lyapunov functional. Two examples are given in the last section to illustrate our main result.
Ayman M. Mahmoud and Cemil Tunç
ISTE Group
AbstractIn this paper, by defining Lyapunov functionals, we investigate proper sufficient conditions for the uniform stability of the zero solution, and also for the uniform boundedness and uniform ultimate boundedness of all solutions of a certain third-order nonlinear vector delay differential equation of the type
A. M. A. Abou-El-Ela, A. I. Sadek, A. M. Mahmoud, and R. O. A. Taie
Hindawi Limited
The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form:X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0.By constructing a Lyapunov functional, we obtained the result of stability.