Overview

This monograph is a collection of the results the authors have obtained on difference equations and inequalities. In the last few years this discipline has gone through such a dramatic development that it is no longer feasible to present an exhaustive survey of all research. However, this state-of-the-art volume offers a representative overview of the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This book will be of interest to graduate students and researchers in mathematical analysis and its applications, concentrating on finite differences, ordinary and partial differential equations, real functions and numerical analysis.

Full Product Details

Author:   R.P. Agarwal ,  Patricia J.Y. Wong
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   404
Dimensions:   Width: 17.00cm , Height: 2.60cm , Length: 24.40cm
Weight:   0.894kg
ISBN:  

9789048148394

ISBN 10:   9048148391
Pages:   510
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Periodic Solutions of First Order Linear Equations.- 2. Periodic Solutions of Generalized Difference Systems.- 3. Periodic Boundary Value Problems: First Order Systems.- 4. Periodic Boundary Value Problems: Second Order Systems.- 5. Periodic Solutions of Higher Order Partial Difference Equations.- 6. Nonlinear Variation of Parameter Methods: One Independent Variable.- 7. Nonlinear Variation of Parameter Methods: Several Independent Variables.- 8. Convergence to Equilibria.- 9. Asymptotic Behavior of Generalized Difference Systems.- 10. Stability of Generalized Difference Systems.- 11. Oscillation via Lyapunov’s Second Method.- 12. Oscillation via Difference Inequalities.- 13. Oscillation via Summation Averages.- 14. Oscillation for Nonlinear Difference Equations.- 15. Oscillation for Quasilinear Difference Equations.- 16. Oscillations Generated by Deviating Arguments.- 17. Positive Monotone Solutions for Nonlinear Difference Equations.- 18. Oscillation for nth Order Nonlinear Difference Equations.- 19. Comparison Theorems.- 20. Oscillation for Second Order Neutral Delay Difference Equations.- 21. Oscillation for Second Order Neutral Delay Difference Equations (Contd.).- 22. Oscillation for Higher Order Neutral Delay Difference Equations.- 23. Oscillation for Partial Difference Equations I.- 24. Oscillation for Partial Difference Equations II.- 25. Oscillation for Partial Difference Equations III.- 26. Oscillation for Partial Difference Equations IV.- 27. A Three-Point Boundary Value Problem.- 28. A Singular Boundary Value Problem.- 29. Eigenvalues of Boundary Value Problems.- 30. Two Solutions of a Boundary Value Problem.- 31. (n, p) Boundary Value Problems.- 32. Boundary Value Problems Arising in Transport Phenomena.- 33. Solutions of m-Point Boundary ValueProblems.- 34. Two-Point Boundary Value Problems for Generalized Difference Systems.- 35. Multi-Point Boundary Value Problems for Generalized Difference Systems.- 36. Resonant Boundary Value Problems for Generalized Difference Systems.- 37. Boundary Value Problems in Abstract Spaces.- 38. Linear Square Optimal Control Problem.- 39. Symmetries of Difference Systems on Manifolds.- 40. Discrete Polar Coordinates.- References.

Reviews

'I think this remarkable monograph should be on the bookshelf of veryone having connection with mathematical analysis and its applications, concentrating on difference equations, numerical analysis, ordinary and partial differential equations.' Acta Sci. Math., 64 (1998)

'I think this remarkable monograph should be on the bookshelf of veryone having connection with mathematical analysis and its applications, concentrating on difference equations, numerical analysis, ordinary and partial differential equations.' Acta Sci. Math., 64 (1998)

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