The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear...
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional abilit...
Research in differential equations is usually oriented toward explicit results and motivated by applications. But, when problems of greater difficulty arise, researchers must find something intrinsic in the mathematics itself in order to make progress. This text explains how linear differential equations can be used in such instances.
Research in differential equations is usually oriented toward explicit results and motivated by applications. But, when problems of greater difficulty...
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power...
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topi...
