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Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics) - Tapa dura

Libro 39 de 70: Chapman & Hall/CRC Pure and Applied Mathematics

Cronin, Jane

 
9780824723378: Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics)
Tapa dura
ISBN 10: 0824723376 ISBN 13: 9780824723378
Editorial: CRC Press, 2007

Sinopsis

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology.

This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincaré method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincaré method.

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Acerca del autor

Cronin, Jane

De la contraportada

Exploring the qualitative aspects of periodic solutions of ODEs, this edition extends the treatment of two-dimensional systems as well as periodic solutions in small parameter problems. It illustrates existence theorems with various examples, provides a detailed account of the Bendixson theory of solutions of two-dimensional autonomous systems, and presents a unified treatment of the perturbation problem for periodic solutions. The text also shows how topological degree is used to obtain significant extensions of perturbation theory and describes how the averaging method is used to study periodic solutions. It contains numerous exercises.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
CRC Press
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0824723376
ISBN 13 
9780824723378
Encuadernación
Tapa dura
Número de edición
3
Número de páginas
408
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania