Introduction to Perturbation Techniques

1. Auflage 1993
ISBN: 978-0-471-31013-6
Verlag: Wiley

Buch, Englisch, 519 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 1027 g

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.

Autoren/Hrsg.

Nayfeh, Ali H.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik

Inhaltsverzeichnis

Algebraic Equations.
Integrals.
The Duffing Equation.
The Linear Damped Oscillator.
Self-Excited Oscillators.
Systems with Quadratic and Cubic Nonlinearities.
General Weakly Nonlinear Systems.
Forced Oscillations of the Duffing Equation.
Multifrequency Excitations.
The Mathieu Equation.
Boundary-Layer Problems.
Linear Equations with Variable Coefficients.
Differential Equations with a Large Parameter.
Solvability Conditions.
Appendices.
Bibliography.
Index.