Periodic solutions of a certain non-linear differential equations : Analytical solutions of strongly nonlinear oscillators

Gamal Ismail

ISBN 10: 3659212059 / ISBN 13: 9783659212055

Editore: LAP LAMBERT Academic Publishing, 2012

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nach der Bestellung gedruckt Neuware - Printed after ordering - The study of nonlinear oscillators equations is of great importance not only in all areas of physics but also in engineering and other disciplines, since most phenomena in our word are nonlinear and are described by nonlinear equations. Recently, considerable attention has been direct towards the analytical solutions for nonlinear oscillators, for example, elliptic homotopy averaging method, amplitude-frequency formulation, homotopy perturbation method, parameter-expanding method, energy balance method, and others. The aim of this thesis is to study the periodic solutions for some physical systems which the mathematical formulation of these systems leads to a certain set of nonlinear ordinary differential equations of the second order. Codice articolo 9783659212055

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Titolo: Periodic solutions of a certain non-linear ...

Casa editrice: LAP LAMBERT Academic Publishing

Data di pubblicazione: 2012

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

The study of nonlinear oscillators equations is of great importance not only in all areas of physics but also in engineering and other disciplines, since most phenomena in our word are nonlinear and are described by nonlinear equations. Recently, considerable attention has been direct towards the analytical solutions for nonlinear oscillators, for example, elliptic homotopy averaging method, amplitude-frequency formulation, homotopy perturbation method, parameter-expanding method, energy balance method, and others. The aim of this thesis is to study the periodic solutions for some physical systems which the mathematical formulation of these systems leads to a certain set of nonlinear ordinary differential equations of the second order.

L'autore:

Gamal M. Ismail PhD in differential equations, Sohag Univesity, Sohag, Egypt