| Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations 1993 Edition Contributor(s): Kiguradze, Ivan (Author), Chanturia, T. a. (Author) |
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ISBN: 079232059X ISBN-13: 9780792320593 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: November 1992 Annotation: This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General |
| Dewey: 515.35 |
| LCCN: 92037359 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.47 lbs) 331 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations. |