Stability by Fixed Point Theory for Functional Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Stability by Fixed Point Theory for Functional Differential Equations by T. A. Burton, Dover Publications
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Author: T. A. Burton ISBN: 9780486153322
Publisher: Dover Publications Publication: April 16, 2013
Imprint: Dover Publications Language: English
Author: T. A. Burton
ISBN: 9780486153322
Publisher: Dover Publications
Publication: April 16, 2013
Imprint: Dover Publications
Language: English

This book is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. It contains an extensive collection of new and classical examples worked in detail and presented in an elementary manner.
Most of this text relies on three principles: a complete metric space, the contraction mapping principle, and an elementary variation of parameters formula. The material is highly accessible to upper-level undergraduate students in the mathematical sciences, as well as working biologists, chemists, economists, engineers, mathematicians, physicists, and other scientists using differential equations. It also introduces many research problems that promise to remain of ongoing interest.

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This book is the first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques. It contains an extensive collection of new and classical examples worked in detail and presented in an elementary manner.
Most of this text relies on three principles: a complete metric space, the contraction mapping principle, and an elementary variation of parameters formula. The material is highly accessible to upper-level undergraduate students in the mathematical sciences, as well as working biologists, chemists, economists, engineers, mathematicians, physicists, and other scientists using differential equations. It also introduces many research problems that promise to remain of ongoing interest.

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