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## Details

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 on highlighting the latest advances in this research area.
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