Differential equations and probability theory

著者

• Oleĭnik, O. A.
• Yosifan, G. A.
• Petrovskiĭ, I. G. (Ivan Georgievich)

書誌事項

Differential equations and probability theory

edited by O.A. Oleinik ; translated from the Russian by G.A. Yosifan

（Classics of Soviet mathematics, v. 5 . I.G. Petrowsky selected works ; pt. 2）

Gordon and Breach Science Pub., c1996

• : set

注記

Includes index

内容説明・目次

巻冊次

ISBN 9782881249792

内容説明

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.

目次

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

巻冊次

: set ISBN 9782881249808

内容説明

This is a set of Petrovskii's selected works. The first volume deals with theory of systems of partial differential equations and is central to the modern general theory of such systems. The classes of elliptic, hyperbolic and parabolic systems are studied here. The second volume deals with 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.

目次

• Part 1 Petrovskii's articles on systems of partial differential equations
• Petrovskii's articles on algebraic topology
• commentaries. Part 2: Petrovskii's articles on partial differential equations
• Petroskii's works on ordinary differential equations
• commentaries.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA27445996
• ISBN:
  • 2881249795
  • 2881249809
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Amsterdam
• ページ数/冊数: xii, 501 p.
• 大きさ: 24 cm
• 分類:
  • NDC8 : 410.4
• 親書誌ID:
  • BA00443140