Selected works: 2 Differential equations and probability theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Gordon and Breach
1996
|
| Schriftenreihe: | Classics of Soviet mathematics
5,2 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 501 S. |
| ISBN: | 2881249795 |
Internformat
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Datensatz im Suchindex
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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 |
| institution | BVB |
| isbn | 2881249795 |
| language | English |
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| series | Classics of Soviet mathematics |
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| 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 |
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