Introduction to Perturbation Techniques

Author： Ali H. Nayfeh  

Publisher： John Wiley & Sons Inc‎

Publication year： 2011

E-ISBN: 9783527618453

P-ISBN(Paperback): 9780471310136

P-ISBN(Hardback):  9780471310136

Subject： O411 Mathematical Methods of Physics

Language： ENG

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Description

Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.

Chapter

Contents

pp.：  1 – 11

1 INTRODUCTION

pp.：  11 – 17

2 ALGEBRAIC EQUATIONS

pp.：  17 – 44

3 INTEGRALS

pp.：  44 – 67

4 THE DUFFING EQUATION

pp.：  67 – 123

5 THE LINEAR DAMPED OSCILLATOR

pp.：  123 – 150

6 SELF-EXCITED OSCILLATORS

pp.：  150 – 163

7 SYSTEMS WITH QUADRATIC AND CUBIC NONLINEARITIES

pp.：  163 – 175

8 GENERAL WEAKLY NONLINEAR SYSTEMS

pp.：  175 – 193

9 FORCED OSCILLATIONS OF THE DUFFING EQUATION

pp.：  193 – 206

10 MULTIFREQUENCY EXCITATIONS

pp.：  206 – 232

11 THE MATHIEU EQUATION

pp.：  232 – 250

12 BOUNDARY-LAYER PROBLEMS

pp.：  250 – 273

13 LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS

pp.：  273 – 341

14 DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER

pp.：  341 – 376

15 SOLVABILITY CONDITIONS

pp.：  376 – 404

APPENDIX A TRIGONOMETRIC IDENTITIES

pp.：  404 – 488

APPENDIX B LINEAR ORDINARY-DIFFERENTIAL EQUATIONS

pp.：  488 – 496

BIBLIOGRAPHY

pp.：  496 – 517

INDEX

pp.：  517 – 523

LastPages

pp.：  523 – 535

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