Description

Book Synopsis

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.



Table of Contents

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

Differential Equations

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    A Hardback by O.A. Oleinik

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      Book details

      Publisher Gordon & Breach Science Publishers SA
      Published 9 February 1996
      ISBN-13 9782881249792
      978-2881249792
      ISBN-10 2881249795
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis

      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.



      Table of Contents

      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

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