A book of great value ... it should have a profound influence upon future research. -- Mathematical Reviews br In this outstanding text, author Wolfgang Wasow concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. Starting with some basic properties of linear differential equations in the complex domain, the treatment advances to considerations of regular and irregular singular points, asymptotic power series, generalizations by means of Jordan's canonical form, and some special asymptotic methods. br Subsequent chapters explore asymptotic expansions with respect t ..

My book Asymptotic Expansions for Ordinary Differential Equations published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task,have concentrated, in this exposi- tion, on the aspects of the asymptotic theory with whichhave been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic diff ..

My book Asymptotic Expansions for Ordinary Differential Equations published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task,have concentrated, in this exposi- tion, on the aspects of the asymptotic theory with whichhave been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic diff ..