Introduction to the theory of differential equations. 5th edition. Filippov A.F.

The book contains all the educational material in accordance with the program of the course of differential equations for mechanical-mathematical and physical and mathematical specialties of universities. There is also a small amount of additional material associated with technical applications. This allows you to choose material for lectures depending on the profile of the university. The volume of the book is significantly reduced in comparison with the available textbooks by reducing additional material and choosing simpler evidence from those available in the educational literature. The theory is presented in sufficient detail and is available for students with an average level of training. Examples of solutions to typical problems are given with explanations. At the end of the paragraphs, the tasks of the exercises for exercises from the “collection of tasks on differential equations” A.F. Filippov (M.: URSS) are given, and some theoretical areas adjusting to the issues in which there are literature in Russian are indicated. Days of students of physical and mathematical specialties, teachers, as well as specialists in different fields of natural sciences that use mathematics in their work.