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Applied mathematical analysis : theory, methods and applications

Author: Hemen Dutta; James F Peters
Publisher: Cham, Switzerland : Springer, [2020]
Series: Studies in systems, decision and control, v. 177.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dutta, Hemen
Applied Mathematical Analysis: Theory, Methods, and Applications
Cham : Springer,c2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hemen Dutta; James F Peters
ISBN: 9783319999180 3319999184
OCLC Number: 1089009257
Notes: The Narimanov-Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks
Description: 1 online resource
Contents: Intro; Preface; Contents; On Equivalent Properties of Hardy-Type Integral Inequality with the General Nonhomogeneous Kernel and Parameters; 1 Introduction; 2 Two Lemmas; 3 Main Results and Applications; 4 Operator Expressions and Some Examples; References; Fundamental Stabilities of Various Forms of Complex Valued Functional Equations; 1 Introduction; 2 General Solution of Functional Equations (1), (2), (3) and (4); 3 Stability of the Additive Functional Equation (1); 4 Stability of the Quadratic Functional Equation (2); 5 Stability of the Cubic Functional Equation (3) 1 Preliminaries2 Background of the Conjecture and the Work of Rainer Brück; 3 Brück's Conjecture for Functions of Finite Order and Extensions; 4 Brück's conjecture and Nevanlinna theory; 5 Concluding Remark; References; Nonlinear Magneto-Elasticity: Direct and Inverse Problems; 1 Introduction; 2 3D-Case; 2.1 Direct Problem; 2.2 Inverse Problem; 3 2D-Case; 3.1 Direct Problem; 3.2 Inverse Problem; References; Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations; 1 Introduction; 2 No Periodics for FDEs with Finite Lower Limits 3 S-Asymptotically Periodics for FDEs with Finite Lower Limits4 Periodic BVP for FDEs; 5 Periodics for FDEs with Infinite Lower Limits; References; Mathematics of Wavefields; 1 Introduction; 2 Some Relevant Mathematical Concepts; 2.1 Some Basics; 2.2 Mean Value Theorem; 2.3 Improper Integral; 2.4 Domain Differentiation; 2.5 A Brief Resume of Generalized Functions; 2.6 The Fourier Transform; 2.7 Divergence and Green's Theorems; 3 The Wavefields; 3.1 The Scalar Equations; 3.2 Electromagnetics; 3.3 Green's Functions; 4 The Second Derivative; 4.1 The Second Derivative of The Fundamental Solution 4.2 Derivatives of The Potential5 A Brief Digression; 6 Summary; References; A Variational Technique to the Homogenization of Maxwell Equations; 1 Introduction; 2 Stationary Maxwell Equations Coupled with a Linear Constitutive Relation; 2.1 One Oscillating Microscale l(h); 2.2 Two Oscillating Microscales l1(h) and l2(h); 3 Stationary Maxwell Equations Coupled with a Power Law Constitutive Relation on Laminate Microstructures; 3.1 Examples; 4 Time-Dependent Maxwell Equations Coupled with Linear Constitutive Relations; 4.1 Example; References
Series Title: Studies in systems, decision and control, v. 177.
Responsibility: Hemen Dutta, James F. Peters, editors.

Abstract:

This book addresses key aspects of recent developments in applied mathematical analysis and its use. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and  Read more...

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