TY - BOOK AU - Nayfeh, Ali Hasan, TI - Introduction to perturbation techniques SN - 9788126546824 U1 - 515.35 PY - 2004/// CY - New York, PB - Wiley KW - Differential equations Numerical solutions N1 - Introduction 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 N2 - 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 ER -