International Symposium on Nonlinear differential Equations and Nonlinear Mechanics:
Gespeichert in:
| Körperschaft: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
New York [u.a.]
Acad. Pr.
1963 [erschienen] 1965
|
| Ausgabe: | 2. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 505 S. |
Internformat
MARC
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| 111 | 2 | |a International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics |d 1961 |c Colorado Springs, Colo. |j Verfasser |0 (DE-588)817719-3 |4 aut | |
| 245 | 1 | 0 | |a International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |c ed. by Joseph P. LaSalle ... |
| 250 | |a 2. print. | ||
| 264 | 1 | |a New York [u.a.] |b Acad. Pr. |c 1963 [erschienen] 1965 | |
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Datensatz im Suchindex
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| adam_text | Contents
List of Contributors v
Preface ix
The Method of Integral Manifolds in the Theory of
Nonlinear Oscillations 1
Y. A. MITROPOL SKIY
Sur un Theoreme de Seifert sur les Trajectoires
Fermees de Certains Champs de Vecteurs 16
GEORGES REEB
Generic Properties of Differential Equations 22
LAWRENCE MARKUS
The Density Theorem for Structurally Stable Systems
on a Two Dimensional Manifold 23
M. M. PEIXOTO
Beurteilung Nichtlinearer Systeme auf der Grund
lage der Strukturstabilitat 24
R. REISSIG
Periodic Solutions of Hyperbolic Partial Differential
Equations 33
LAMBERTO CESARI
Coupling in Certain Classes of Weakly Nonlinear
Vibrating Systems 58
P. R. SETHNA
Perturbation Theory for Almost Periodic Solutions
for Undamped Nonlinear Differential Equations 71
JURCEN MOSER
Asymptotic System of a Perturbed System 80
TARO YOSHIZAWA
On Some New Long Periodic Solutions of the Plane
Restricted Three Body Problem 86
C. C. CONLEY
xi
Xli CONTENTS
Continuous Groups and Autosynartetic Solutions 91
ROBERT W. BASS AND DANIEL C. LEWIS
Autosynartetic Families of Solutions 99
DANIEL C. LEWIS
Periodic Functions Generated as Solutions of Non¬
linear Differential Difference Equations 105
G. STEPHEN JONES
Uniformly Valid Asymptotic Approximations for
Certain Non Linear Differential Equations 113
J. D. COLE AND J. KEVORKIAN
New Directions of Research in the Theory of Differ¬
ential Equations 121
RICHARD BELLMAN
Some Aspects of Quasilinearization 135
ROBERT KALABA
On the Differential Equations of Electrical Circuits and
the Global Nature of the Solutions 147
JURGEN MOSER
Differential Difference Equations 155
KENNETH L. COOKE
Transport Theory, Invariant Imbedding, and Two Point
Boundary Value Problems 172
G. MILTON WING
Numerical Study of Periodic Solutions of the van der
Pol Equation 184
MINOHU URABE
Finite Elastic Deformation of a Plane Strain Wedge
shaped Radial Crack in a Compressible Cylinder 193
PAUL J. BLATZ
Wave Propagation in Non Simple Media 211
B. A. FLEISHMAN
Some Nonlinear Systems of Differential Equations
Equivalent to Linear Systems 218
F. G. DRESSEL AND J. J. GERGEN
A Class of Characteristic Value Problems 224
RICHARD M. MORONEY
CONTENTS xiii
Association of Partial Differential Equations with
Ordinary Ones and Its Applications 231
M. Z. V. KRZYWOBI.OCKI
Stochastic Approximation and Its Application to
Problems of Prediction and Control Synthesis 241
L. A. GARDNER, JR.
Boundedness and Stability 259
H. A. ANTOSIEWICZ
Discrete Time Optimal Control Systems 267
LUCIEX W. NEUSTADT
The Principle of Optimal Evolution 284
HUBERT IIALKIN
A Geometric Interpretation of Pontryagin s Maximum
Principle 303
EMILIO ROXIN
On the Accessibility Problem in Control Theory 325
ROBERT HERMANN
Time Optimal Control of Linear Systems with
Bounded Controls 333
B. I AIEWONSKV
Controllable Stability and Equivalent Nonlinear
Programming Problem 366
J. B. ROSEN
Periodic Solutions of Singular Perturbation Problems 377
E. R. RANG
Ultimately Periodic Behavior in a Class of Non
Linear Servomechanisms 384
v. e. benes
Determining the Switching Criterion for Time
Optimal Control 393
C. A. HARVEY
On the Pontryagin Maximum Principle 395
RICHARD E. KO1T
The Nonlinear Effect, Arising from White Noise and
the Flicker Effect, in Nuclear Resonance Spectrometers
of the Marginal Oscillator Type 403
A. BLAQl IERE AND P. GRIVET
xiv CONTENTS
L Extension de la Methode de Nyquist aux Boucles
Non Lineaires. Application a L Etude de la Stabilite
des Reacteurs Nucleaires 413
A. BLAQUIERE
A Contribution to Liapunov s Second Method: Non¬
linear Autonomous Systems 421
GEORGE P. SZEGO
An Analysis of the Bistability of the Parametron 431
R. A. WILLOUGHBY
Liapunov Functions and Comparison Theorems 435
FRED BRAUER
Structures Transverse to a Vector Field 442
BRUCE L. REINHART
Systems of Differential Equations without Linear
Terms 445
COURTNEY COLEMAN
Prolongations and Generalized Liapunov Functions 454
JOSEPH AUSLANDER AND PETER SEIBERT
Stability under Perturbations in Generalized Dynam¬
ical Systems 463
PETER SEIBERT
A Functional Differential System of Neutral Type
Arising in a Two Body Problem of Classical Electro¬
dynamics 474
RODNEY D. DRIVER
Asymptotic Solutions of a Linear Ordinary Differ¬
ential Equation of nth Order about a Simple Turning
Point 485
YASUTAKA SIBUYA
A Boundary Value Problem for a Singularly Per¬
turbed System of Nonlinear Differential Equations 489
W. A. HARRIS, JR.
Author Index 497
Subject Index 502
|
| adam_txt |
Contents
List of Contributors v
Preface ix
The Method of Integral Manifolds in the Theory of
Nonlinear Oscillations 1
Y. A. MITROPOL'SKIY
Sur un Theoreme de Seifert sur les Trajectoires
Fermees de Certains Champs de Vecteurs 16
GEORGES REEB
Generic Properties of Differential Equations 22
LAWRENCE MARKUS
The Density Theorem for Structurally Stable Systems
on a Two Dimensional Manifold 23
M. M. PEIXOTO
Beurteilung Nichtlinearer Systeme auf der Grund
lage der Strukturstabilitat 24
R. REISSIG
Periodic Solutions of Hyperbolic Partial Differential
Equations 33
LAMBERTO CESARI
Coupling in Certain Classes of Weakly Nonlinear
Vibrating Systems 58
P. R. SETHNA
Perturbation Theory for Almost Periodic Solutions
for Undamped Nonlinear Differential Equations 71
JURCEN MOSER
Asymptotic System of a Perturbed System 80
TARO YOSHIZAWA
On Some New Long Periodic Solutions of the Plane
Restricted Three Body Problem 86
C. C. CONLEY
xi
Xli CONTENTS
Continuous Groups and Autosynartetic Solutions 91
ROBERT W. BASS AND DANIEL C. LEWIS
Autosynartetic Families of Solutions 99
DANIEL C. LEWIS
Periodic Functions Generated as Solutions of Non¬
linear Differential Difference Equations 105
G. STEPHEN JONES
Uniformly Valid Asymptotic Approximations for
Certain Non Linear Differential Equations 113
J. D. COLE AND J. KEVORKIAN
New Directions of Research in the Theory of Differ¬
ential Equations 121
RICHARD BELLMAN
Some Aspects of Quasilinearization 135
ROBERT KALABA
On the Differential Equations of Electrical Circuits and
the Global Nature of the Solutions 147
JURGEN MOSER
Differential Difference Equations 155
KENNETH L. COOKE
Transport Theory, Invariant Imbedding, and Two Point
Boundary Value Problems 172
G. MILTON WING
Numerical Study of Periodic Solutions of the van der
Pol Equation 184
MINOHU URABE
Finite Elastic Deformation of a Plane Strain Wedge
shaped Radial Crack in a Compressible Cylinder 193
PAUL J. BLATZ
Wave Propagation in Non Simple Media 211
B. A. FLEISHMAN
Some Nonlinear Systems of Differential Equations
Equivalent to Linear Systems 218
F. G. DRESSEL AND J. J. GERGEN
A Class of Characteristic Value Problems 224
RICHARD M. MORONEY
CONTENTS xiii
Association of Partial Differential Equations with
Ordinary Ones and Its Applications 231
M. Z. V. KRZYWOBI.OCKI
Stochastic Approximation and Its Application to
Problems of Prediction and Control Synthesis 241
L. A. GARDNER, JR.
Boundedness and Stability 259
H. A. ANTOSIEWICZ
Discrete Time Optimal Control Systems 267
LUCIEX W. NEUSTADT
The Principle of Optimal Evolution 284
HUBERT IIALKIN
A Geometric Interpretation of Pontryagin's Maximum
Principle 303
EMILIO ROXIN
On the Accessibility Problem in Control Theory 325
ROBERT HERMANN
Time Optimal Control of Linear Systems with
Bounded Controls 333
B. I'AIEWONSKV
Controllable Stability and Equivalent Nonlinear
Programming Problem 366
J. B. ROSEN
Periodic Solutions of Singular Perturbation Problems 377
E. R. RANG
Ultimately Periodic Behavior in a Class of Non
Linear Servomechanisms 384
v. e. benes
Determining the Switching Criterion for Time
Optimal Control 393
C. A. HARVEY
On the Pontryagin Maximum Principle 395
RICHARD E. KO1T
The Nonlinear Effect, Arising from White Noise and
the Flicker Effect, in Nuclear Resonance Spectrometers
of the "Marginal Oscillator" Type 403
A. BLAQl'IERE AND P. GRIVET
xiv CONTENTS
L'Extension de la Methode de Nyquist aux Boucles
Non Lineaires. Application a L'Etude de la Stabilite
des Reacteurs Nucleaires 413
A. BLAQUIERE
A Contribution to Liapunov's Second Method: Non¬
linear Autonomous Systems 421
GEORGE P. SZEGO
An Analysis of the Bistability of the Parametron 431
R. A. WILLOUGHBY
Liapunov Functions and Comparison Theorems 435
FRED BRAUER
Structures Transverse to a Vector Field 442
BRUCE L. REINHART
Systems of Differential Equations without Linear
Terms 445
COURTNEY COLEMAN
Prolongations and Generalized Liapunov Functions 454
JOSEPH AUSLANDER AND PETER SEIBERT
Stability under Perturbations in Generalized Dynam¬
ical Systems 463
PETER SEIBERT
A Functional Differential System of Neutral Type
Arising in a Two Body Problem of Classical Electro¬
dynamics 474
RODNEY D. DRIVER
Asymptotic Solutions of a Linear Ordinary Differ¬
ential Equation of nth Order about a Simple Turning
Point 485
YASUTAKA SIBUYA
A Boundary Value Problem for a Singularly Per¬
turbed System of Nonlinear Differential Equations 489
W. A. HARRIS, JR.
Author Index 497
Subject Index 502 |
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| author_corporate | International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics Colorado Springs, Colo |
| author_corporate_role | aut |
| author_facet | International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics Colorado Springs, Colo |
| author_sort | International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics Colorado Springs, Colo |
| building | Verbundindex |
| bvnumber | BV021912140 |
| classification_rvk | SD 1961 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. print. |
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| index_date | 2024-07-02T16:05:19Z |
| indexdate | 2024-07-09T20:47:15Z |
| institution | BVB |
| institution_GND | (DE-588)817719-3 |
| language | Undetermined |
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| spelling | International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics 1961 Colorado Springs, Colo. Verfasser (DE-588)817719-3 aut International Symposium on Nonlinear differential Equations and Nonlinear Mechanics ed. by Joseph P. LaSalle ... 2. print. New York [u.a.] Acad. Pr. 1963 [erschienen] 1965 XIV, 505 S. txt rdacontent n rdamedia nc rdacarrier Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Nichtlineare Mechanik (DE-588)4042095-4 s DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s LaSalle, Joseph P. 1916-1983 Sonstige (DE-588)111470358 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015127313&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics Nichtlineare Mechanik (DE-588)4042095-4 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| subject_GND | (DE-588)4042095-4 (DE-588)4205536-2 (DE-588)1071861417 |
| title | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |
| title_auth | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |
| title_exact_search | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |
| title_exact_search_txtP | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |
| title_full | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics ed. by Joseph P. LaSalle ... |
| title_fullStr | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics ed. by Joseph P. LaSalle ... |
| title_full_unstemmed | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics ed. by Joseph P. LaSalle ... |
| title_short | International Symposium on Nonlinear differential Equations and Nonlinear Mechanics |
| title_sort | international symposium on nonlinear differential equations and nonlinear mechanics |
| topic | Nichtlineare Mechanik (DE-588)4042095-4 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| topic_facet | Nichtlineare Mechanik Nichtlineare Differentialgleichung Konferenzschrift |
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