000 01197nam a22001817a 4500
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008 220912b |||||||| |||| 00| 0 eng d
020 _a9788126546824
082 _a515.35
_bNAY
100 _aNayfeh, Ali Hasan,
245 _a Introduction to perturbation techniques
_cNayfeh, Ali Hasan,
260 _a New York,
_bWiley,
_c2004
300 _a519P
505 _aIntroduction 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
520 _aSimilarities, 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
650 _aDifferential equations Numerical solutions
942 _2ddc
_cBK
999 _c1791
_d1791