Applied Mathematical Analysis: Theory, Methods, and Applications

Description

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications. Front Matter ....Pages i-xii On Equivalent Properties of Hardy-Type Integral Inequality with the General Nonhomogeneous Kernel and Parameters (Bicheng Yang)....Pages 1-27 Fundamental Stabilities of Various Forms of Complex Valued Functional Equations (Beri Venkatachalapathy Senthil Kumar, Hemen Dutta)....Pages 29-59 Statistical Summability of Double Sequences by the Weighted Mean and Associated Approximation Results (Uğur Kadak)....Pages 61-85 A Survey on a Conjecture of Rainer Brück (Indrajit Lahiri)....Pages 87-122 Nonlinear Magneto-Elasticity: Direct and Inverse Problems (Viatcheslav Priimenko, Mikhail Vishnevskii, Adolfo Pires)....Pages 123-151 Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations (Michal Fečkan)....Pages 153-185 Mathematics of Wavefields (D. N. Ghosh Roy)....Pages 187-231 A Variational Technique to the Homogenization of Maxwell Equations (Hélia Serrano)....Pages 233-266 The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks (A. V. Solodun, A. N. Timokha)....Pages 267-309 The Lengyel–Epstein Reaction Diffusion System (Salem Abdelmalek, Samir Bendoukha)....Pages 311-351 Prediction and Control of Buckling: The Inverse Bifurcation Problems for von Karman Equations (Natalia I. Obodan, Victor J. Adlucky, Vasilii A. Gromov)....Pages 353-381 Numerical Solution with Special Layer Adapted Meshes for Singularly Perturbed Boundary Value Problems (Deepti Kaur, Vivek Kumar)....Pages 383-404 Use of Galerkin Technique in Some Water Wave Scattering Problems Involving Plane Vertical Barriers (B. N. Mandal, Soumen De)....Pages 405-432 Dynamics of a Class of Leslie–Gower Predation Models with a Non-Differentiable Functional Response (Viviana Rivera-Estay, Eduardo González-Olivares, Alejandro Rojas-Palma, Karina Vilches-Ponce)....Pages 433-457 Entire Solutions of a Nonlinear Diffusion System (Dragoş-Pătru Covei)....Pages 459-485 Goal Programming Models for Managerial Strategic Decision Making (Cinzia Colapinto, Raja Jayaraman, Davide La Torre)....Pages 487-507 Modeling Highly Random Dynamical Infectious Systems (Divine Wanduku)....Pages 509-578 On Weighted Convergence of Double Singular Integral Operators Involving Summation (Gümrah Uysal, Hemen Dutta)....Pages 579-603 Circular-Like and Circular Elements in Free Product Banach \({*}\)-Algebras Induced by p-Adic Number Fields \(\mathbb {Q}_{p}\) Over Primes p (Ilwoo Cho)....Pages 605-654 On Statistical Deferred Weighted \(\mathcal {B}\)-Convergence (S. K. Paikray, Hemen Dutta)....Pages 655-678 Multi Poly-Bernoulli and Multi Poly-Euler Polynomials (Roberto B. Corcino)....Pages 679-721 Geometric Properties of Normalized Wright Functions (Nizami Mustafa, Veysel Nezir, Hemen Dutta)....Pages 723-790 On the Spectra of Difference Operators Over Some Banach Spaces (Hemen Dutta, P. Baliarsingh)....Pages 791-810