Qualitative Theory of Differential Equations - Translations of Mathematical Monographs, Volume 101

Zhang Zhi-fen; Ding Tong-ren; Huang Wen-zao; Dong Zhen-xi; Anthony Wing-Kwok Leung (trans.)

ISBN 10: 0821845519 / ISBN 13: 9780821845516

Edité par American Mathematical Society, Providence, Rhode Island, 1992

A propos de cet article

Providence, Rhode Island: American Mathematical Society, 1992. 461 pp. 26 x 18.5 cm. Glossy paper covered boards printed in navy and burgundy. Rubbing to boards consistent with normal shelfwear. Mild to moderate sunning to spine. Bumping to head of rear board. Few shallow scratches to rear board. Interior clean and unmarked. Binding firm. Hard Cover. Very Good. N° de réf. du vendeur 625823

Détails bibliographiques

Titre : Qualitative Theory of Differential Equations...

Éditeur : American Mathematical Society, Providence, Rhode Island

Date d'édition : 1992

Reliure : Hardcover

Etat : Very Good

A propos de ce titre

Synopsis :

This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. It begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincare-Bendixson theory. The authors present a careful analysis of solutions near critical points of linear and nonlinear planar systems and discuss indices of planar critical points. A very thorough study of limit cycles is given, including many results on quadratic systems and recent developments in China. Other topics included are: the critical point at infinity, harmonic solutions for periodic differential equations, systems of ordinary differential equations on the torus, and structural stability for systems on two-dimensional manifolds. This book would be accessible to graduate students and advanced undergraduates and would also be of interest to researchers in this area. Exercises are included at the end of each chapter.