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Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

✍ Scribed by Hemen Dutta, Ljubiša D. R. Kočinac, Hari M. Srivastava


Publisher
Springer International Publishing;Birkhäuser
Year
2019
Tongue
English
Leaves
912
Edition
1st ed. 2019
Category
Library

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✦ Synopsis


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.


✦ Table of Contents


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

✦ Subjects


Mathematics; Partial Differential Equations; Integral Equations; Ordinary Differential Equations; Operator Theory; Functional Analysis; Special Functions


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