Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations (Hardcover)

Contents:
1. Elliptic Equations 1.1 Introduction 1.2 Monotone Iterates: A Preview 1.3 Monotone Iterative Technique 1.4 Generalized Quasilinearization 1.5 Weakly Coupled Mixed Monotone Systems 1.6 Elliptic Systems in Unbounded Domains 1.7 MIT Systems in Unbounded Domains 1.8 Notes and Comments 2. Parabolic Equations 2.1 Introduction 2.2 Comparision Theorems 2.3 Monotone Iterative Technique 2.4 Generalized Quasilinearization 2.5 Monotone Flows and Mixed Monotone Systems 2.6 GCR for Weakly Coupled Systems 2.7 Stability and Vector Lyapunov Functions 2.8 Notes and Comments 3. Impulsive Parabolic Equations 3.1 Introduction 3.2 Comparison Results for IPS 3.3 Coupled Lower and Upper Solutions 3.4 Generalized Quasilinearization 3.5 Population Dynamics with Impulses 3.6 Notes and Comments 4. Hyperbolic Equations 4.1 Introduction 4.2 VP and Comparison Results 4.3 Monotone Iterative Technique 4.4 The Method of Generalized Quasilinearization 4.5 Notes and Comments 5. Elliptic Equations 5.1 Introduction 5.2 Comparison Result 5.3 MIT: Semilinear Problems 5.4 MIT: Quasilinear Problems 5.5 MIT: Degenerate Problems 5.6 GQ: Semilinear Problems 5.7 GQ: Quasilinear Problem 5.8 GQ: Degenerate Problems 5.9 Notes and Comments 6. Parabolic Equations 6.1 Introduction 6.2 Monotone Iterative Technique 6.3 Generalized Quasilinearization 6.4 Nonlocal Problems 6.5 GQ: Nonlocal Problems 6.6 Quasilinear Problems 6.7 GQ: Quasilinear Problems 6.8 Notes and Comments 7. Hyperbolic Equations 7.1 Introduction 7.2 Notation and Comparison Results 7.3 Monotone Iterative Technique 7.4 Generalized Quasilinearization 7.5 Notes and Comments Appendicies

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Mathematical Analysis and Applications
Release date:	February 2003
First published:	2003
Authors:	V. Lakshmikantham • S. Koksal
Dimensions:	254 x 178 x 23mm (L x W x T)
Format:	Hardcover
Pages:	328
ISBN-13:	978-0-415-30528-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	0-415-30528-4
Barcode:	9780415305280

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