Oscillations in Nonlinear Systems (eBook)

Jack K. Hale (Autor)

eBook Download: EPUB

2015
192 Seiten
Dover Publications (Verlag)
978-0-486-80326-5 (ISBN)

Infos

By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

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By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds.Part I of the text features introductory material, including discussions of matrices, linear systems of differential equations, and stability of solutions of nonlinear systems. Part II offers extensive treatment of periodic solutions, including the general theory for periodic solutions based on the work of Cesari-Halel-Gambill, with specific examples and applications of the theory. Part III covers various aspects of almost periodic solutions, including methods of averaging and the existence of integral manifolds. An indispensable resource for engineers and mathematicians with knowledge of elementary differential equations and matrices, this text is illuminated by numerous clear examples.

Autor

A longtime professor at Brown University, Jack K. Hale is Regents Professor Emeritus at the Georgia Institute of Technology and the author of Dover's Ordinary Differential Equations.

Produkt-Details

• Erscheint lt. Verlag: 24.3.2015
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 222 g
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: autonomous differential equations • books on math • cesari-halel-gambill • Differential Equations • Integral Manifolds • linear systems of differential equations • Manifolds • mathematical studies • Mathematics • matrices • methods of averaging and integral manifolds • nonautonomous and autonomous differential equations • Nonautonomous Differential Equations • Non-fiction • Nonfiction • nonlinear oscillations • oscillations in nonlinear systems • Periodic Solutions • solutions of nonlinear systems • theory for periodic solutions • theory of nonlinear oscillations
• ISBN-10: 0-486-80326-0 / 0486803260
• ISBN-13: 978-0-486-80326-5 / 9780486803265