Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Description

This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis. Front Matter ....Pages i-xv Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces (Stanisław Migórski, Dariusz Pączka)....Pages 1-53 Discrete Fourier Transform and Theta Function Identities (R. A. Malekar)....Pages 55-99 On Some Combinatorics of Rogers–Ramanujan Type Identities Using Signed Color Partitions (V. Gupta, M. Rana)....Pages 101-118 Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems (Syed Abbas, Lakshman Mahto)....Pages 119-140 On the Convergence of Secant-Like Methods (I. K. Argyros, M. A. Hernández-Verón, M. J. Rubio)....Pages 141-183 Spacetimes as Topological Spaces, and the Need to Take Methods of General Topology More Seriously (Kyriakos Papadopoulos, Fabio Scardigli)....Pages 185-196 Analysis of Generalized BBM Equations: Symmetry Groups and Conservation Laws (M. S. Bruzón, T. M. Garrido, R. de la Rosa)....Pages 197-228 Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms (M. L. Gandarias, M. Rosa)....Pages 229-251 On Some Variable Exponent Problems with No-Flux Boundary Condition (Maria-Magdalena Boureanu)....Pages 253-285 On the General Decay for a System of Viscoelastic Wave Equations (Salim A. Messaoudi, Jamilu Hashim Hassan)....Pages 287-310 Mathematical Theory of Incompressible Flows: Local Existence, Uniqueness, and Blow-Up of Solutions in Sobolev–Gevrey Spaces (Wilberclay G. Melo, Natã Firmino Rocha, Ezequiel Barbosa)....Pages 311-349 Mathematical Research for Models Which is Related to Chemotaxis System (Jiashan Zheng)....Pages 351-444 Optimal Control of Quasivariational Inequalities with Applications to Contact Mechanics (Mircea Sofonea)....Pages 445-489 On Generalized Derivative Sampling Series Expansion (Zurab A. Piranashvili, Tibor K. Pogány)....Pages 491-519 Voronoi Polygonal Hybrid Finite Elements and Their Applications (Hui Wang, Qing-Hua Qin)....Pages 521-563 Variational Methods for Schrödinger Type Equations (Giovany Malcher Figueiredo, Edwin Gonzalo Murcia, Gaetano Siciliano)....Pages 565-645 Nonlinear Nonhomogeneous Elliptic Problems (Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro)....Pages 647-713 Summability of Double Sequences and Double Series Over Non-Archimedean Fields: A Survey (P. N. Natarajan, Hemen Dutta)....Pages 715-736 On Approximate Solutions of Linear and Nonlinear Singular Integral Equations (Nizami Mustafa, Veysel Nezir)....Pages 737-808 On Difference Double Sequences and Their Applications (L. Nayak, P. Baliarsingh)....Pages 809-829 Pointwise Convergence Analysis for Nonlinear Double m-Singular Integral Operators (Gümrah Uysal, Hemen Dutta)....Pages 831-854 A Survey on p-Adic Integrals (Ugur Duran, Hemen Dutta)....Pages 855-884 On Statistical Deferred Cesàro Summability (Hemen Dutta, S. K. Paikray, B. B. Jena)....Pages 885-909