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Selected works: 2 Differential equations and probability theory

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Bibliographic Details
Main Author:	Petrovskij, Ivan G. 1901-1973 (Author)
Format:	Book
Language:	English
Published:	Amsterdam Gordon and Breach 1996
Series:	Classics of Soviet mathematics 5,2
Online Access:	Inhaltsverzeichnis
Physical Description:	XII, 501 S.
ISBN:	2881249795

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MARC


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adam_text	CONTENTS Foreword ix Editor s Preface xi Ivan Georgievich Petrowsky 1 P.S. Alexandrov and O.A. Oleinik PETROWSKY S ARTICLES ON PÄRTIAL DIFFERENTIAL EQUATIONS 1. Remarks on the Works of O. Perron and L.A. Lusternik on the Dirichlet Problem 12 2. Perron s Method for Solving the Dirichlet Problem 20 3. New Proof of the Existence of Solutions for the Dirichlet Problem by the Finite Difference Method 30 4. On the First Boundary Value Problem (the Dirichlet Problem) for Elliptic Equations and Some Properties of Functions Satisfying These Equations 43 5. On the First Boundary Value Problem for the Heat Equation 71 6. Studies of the Diffusion with the Increasing Quantity of the Substance; Its Application to a Biological Problem 106 7. On the Speed of Propagation of Discontinuities of Displacement Derivatives on the Surface of a Non Homogeneous Elastic Body of Arbitrary Shape 133 8. Some Problems in the Theory of Partial Differential Equations 139 9. Contribution of S.N. Bernstein to the Theory of Partial Differential Equations 172 vi CONTENTS PETROWSKY S ÄRTICLES ON ORDINARY DIFFERENTIAL EQUATIONS 10. On the Behavior of Integral Curves for a System of Ordinary Differential Equations in a Neighborhood of a Singular Point 194 11. On the Number of Limit Cycles for the Equation ^ = fl±ll where P and Q are Polynomials of Degree 2 255 PETROWSKY S ÄRTICLES ON THE THEORY OF PROBABILITY AND OTHER PROBLEMS OFANALYSIS 12. On the Problem of Random Walk 278 13. On the Uniqueness of a Primitive Function Determined by its Generalized Derivative with Respect to an Arbitrary Continuous Function 299 14. On Reducing the Second Variation to Canonical Form by Triangulär Transformations 312 APPENDIX: COMMENTARIES On the Dirichlet Problem for the Laplace Equation (a commentary on articles 1 3) 326 EM. Landis, O.A. Oleinik On the Theory of Elliptic Equations (a commentary on article 4) 329 EM. Landis, O.A. Oleinik On the First Boundary Value Problem for Second Order Parabolic Equations (a commentary on article 5) 352 EM. Landis, S.A. Molchanov Propagation of Waves Described by Nonlinear Parabolic Equations (a commentary on article 6) 364 A.I. Volpert On a Problem in the Theory of Elasticity (a commentary on article 7) 400 A.E Filippov On Petrowsky s Problems in the Theory of Partial Differential Equations (a commentary on article 8) 402 O.A. Oleinik CONTENTS vii Singular Points of Vector Fields (a commentary on article 10) 420 Yu. S. Ilyashenko Limit Cycles on the Real and Complex Plane (a commentary on article 11) 464 Yu. S. Ilyashenko On Random Walks (a commentary on article 12) 487 S.A. Molchanov On a Problem of Lebesgue (a commentary on article 13) 491 E.M. Landis On a Problem in the Calculus of Variations (a commentary on article 14) 492 V.M. Tikhomirov List of Petrowsky s Scientific Publications 495 Index 500
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indexdate	2024-07-09T18:31:18Z
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isbn	2881249795
language	English
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physical	XII, 501 S.
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publisher	Gordon and Breach
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series	Classics of Soviet mathematics
series2	Classics of Soviet mathematics Classics of soviet mathematics
spelling	Petrovskij, Ivan G. 1901-1973 Verfasser (DE-588)127050787 aut Selected works 2 Differential equations and probability theory I. G. Petrowsky Amsterdam Gordon and Breach 1996 XII, 501 S. txt rdacontent n rdamedia nc rdacarrier Classics of Soviet mathematics 5,2 Classics of soviet mathematics 5 (DE-604)BV012651861 2 Classics of Soviet mathematics 5,2 (DE-604)BV008907436 5,2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008595969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Petrovskij, Ivan G. 1901-1973 Selected works Classics of Soviet mathematics
title	Selected works
title_auth	Selected works
title_exact_search	Selected works
title_full	Selected works 2 Differential equations and probability theory I. G. Petrowsky
title_fullStr	Selected works 2 Differential equations and probability theory I. G. Petrowsky
title_full_unstemmed	Selected works 2 Differential equations and probability theory I. G. Petrowsky
title_short	Selected works
title_sort	selected works differential equations and probability theory
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008595969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV012651861 (DE-604)BV008907436
work_keys_str_mv	AT petrovskijivang selectedworks2

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