Lectures on the theory of ordinary differential equations (Q2920270)

This book represents a reprint of the first edition of the famous lectures of Prof. I. G. Petrovskii on ordinary differential equations delivered the first time at the State University of Saratov in 1936/37 and then at the Moscow State University.NEWLINENEWLINE Since I never found a detailed review on these lectures I will present the content by chapters.NEWLINENEWLINE Part I: One differential equation with one unknown function; Chapter 1. Basic concepts (2 sections); Chapter 2. Simplest differential equations (7 sections); Chapter 3. General theory (18 sections);NEWLINENEWLINE Part II: Systems of ordinary differential equations; Chapter 4. General theory (5 sections); Chapter 5. General theory of linear systems (9 sections); Chapter 6. Linear systems with constant coefficients (10 sections).NEWLINENEWLINE Appendix: Partial differential equations of first-order of one unknown function (5 sections).