Differential Equations

This text is the second volume in a set of Petrovskii's selected works. It deals with the his work on algebraic geometry based on the classical works of Harnack and Hilbert written at the close of the 19th century. It contains articles on ordinary and partial differential equations, mathematical physics, probability theory and the theory of functions. Each of the articles is accompanied by the editor's notes. In addition, each article has been studied by modern Russian mathematicians and appears with their commentaries.

Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.

Foreword, Editor’s Preface, Ivan Georgievich Petrowsky, PETROWSKY’S ARTICLES ON PARTIAL DIFFERENTIAL EQUATIONS, PETROWSKY’S ARTICLES ON ORDINARY DIFFERENTIAL EQUATIONS, PETROWSKY’S ARTICLES ON THE THEORY OF PROBABILITY AND OTHER PROBLEMS OF ANALYSIS, APPENDIX: COMMENTARIES, Index

Perry,