Advances in Mathematics Research. Volume 29


Albert R. Baswell (Editor)

Series: Advances in Mathematics Research

BISAC: MAT000000

This compilation contains seven chapters, each detailing a particular advancement in mathematics research. Chapter One presents labeled paths as methods for encryption and decryption. Chapter Two presents the possibilities of risk assessment and management assistance built around Bayesian tools. Chapter Three analyzes in detail the Lie point symmetries of the second-order scalar ordinary differential equations appearing in the Painlevé–Gambier classification. Chapter Four focuses on the application of Adomian decomposition method (ADM) for solving singular and non-singular ordinary and partial differential equations with initial and boundary conditions. Chapter Five describes the structure of compact global attractor (Levinson center) for monotone Bohr/Levitan almost periodic dynamical systems. Chapter Six presents the mathematical modeling from the PI model of three real segments derived from the electric power network of two concessionaires located in the city of Ijuí, Brazil. Finally, Chapter Seven presents a study of the mathematical aspects of the theory of error-detecting/correcting codes based on coding theory.

Table of Contents


Chapter 1. Labeled Paths in Cryptography
(Dharmendra Kumar Gurjar and Auparajita Krishnaa – Department of Mathematics and Statistics, University College of Science, MohanLal Sukhadia University, Udaipur, India)

Chapter 2. Bayesian Networks in Risk Informed Decision-Making
(A. P. Tchangani – Dpt. GEII, IUT de Tarbes, Université Toulouse III, Paul Sabatier, Tarbes Cedex, France, et al.)

Chapter 3. Lie-Symmetry Analysis of the Painlevé–Gambier Classification of Second-Order Scalar Ordinary Differential Equations
(R. Campoamor-Stursberg – Instituto de Matemática Interdisciplinar and Depto. de Geometría y Topología, Universidad Complutense, Madrid, Spain)

Chapter 4. Solution of Linear and Non-Linear Ordinary and Partial Differential Equations by Adomian Decomposition Method
(Umesh and Manoj Kumar – Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, Prayagraj, Uttar Pradesh, India)

Chapter 5. On the Structure of the Levinson Center for Monotone Dissipative Non-Autonomous Dynamical Systems
(David Cheban – State University of Moldova, Institute of Research and Innovation, Scientific Research Laboratory, “Fundamental and Applied Mathematics,” Chișinău, Moldova)

Chapter 6. Mathematical Modeling of the Primary Electric Power Distribution Network of Southern Brazil
(Ana Júlia Daniels, Andressa Diefenthäler, Airam Sausen, Paulo Sérgio Sausen, Maurício de Campos, Marcia Binelo and João M. Lenz – Masters and Doctoral Program in Mathematical Modeling, Regional University of Northwestern, Rio Grande do Sul State (UNIJUÍ), Ijuí, RS, Brazil)

Chapter 7. A Survey on Some Specific Codes
(Kaushik Dehingia and Rajdeep Bordoloi – Research Scholar, Department of Mathematics, Gauhati University, Assam, India)


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