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Sturmian Theory for Ordinary Differential Equations - William T. Reid
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William T. Reid:

Sturmian Theory for Ordinary Differential Equations - Livro de bolso

1981, ISBN: 0387905421

[EAN: 9780387905426], Neubuch, [PU: Springer New York], HILBERTSPACE STURMSCHETHEORIE DIFFERENTIALEQUATION ORDINARYDIFFERENTIALEQUATION MATHEMATIK ANALYSIS EQUATIONS HILBERT SPACE STURMSC… mais…

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Sturmian Theory for Ordinary Differential Equations (Applied Mathematical Sciences, 31). - Reid, William T.
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Reid, William T.:

Sturmian Theory for Ordinary Differential Equations (Applied Mathematical Sciences, 31). - Livro de bolso

1980, ISBN: 9780387905426

[PU: Springer, New York], 580 p. softcover. Mild creasing to cover, prev. owner's name on title, front endpaper with cut off corner, else very good. ISBN: 9780387905426, DE, [SC: 0.00], … mais…

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Sturmian Theory for Ordinary Differential Equations - Reid, William T.; Herdman, T. (Bearbeitung); Ahlbrandt, C. (Bearbeitung); Burns, J. (Bearbeitung)
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Reid, William T.; Herdman, T. (Bearbeitung); Ahlbrandt, C. (Bearbeitung); Burns, J. (Bearbeitung):
Sturmian Theory for Ordinary Differential Equations - Livro de bolso

1981

ISBN: 0387905421

Softcover reprint of the original 1st ed. 1980 Kartoniert / Broschiert Hilbertspace; SturmscheTheorie; differentialequation; ordinarydifferentialequation, mit Schutzumschlag 11, [PU:Spr… mais…

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Reid, William T.:
Sturmian Theory for Ordinary Differential Equations (Applied Mathematical Sciences). - Livro de bolso

1980, ISBN: 0387905421

[EAN: 9780387905426], [SC: 3.0], [PU: Springer-Verlag New York, Inc.], Applied Mathematical Sciences, Band 31. Zust: Gutes Exemplar. XV, 559 Seiten, Englisch 786g, Books

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Sturmian Theory for Ordinary Differential Equations
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Sturmian Theory for Ordinary Differential Equations - nuovo livro

ISBN: 9780387905426

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Nr. 978-0-387-90542-6. Custos de envio:Worldwide free shipping, , DE. (EUR 0.00)
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Sturmian Theory for Ordinary Differential Equations
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0387905421


A major portion of the study of the qualitative nature of solutions of differential equations may be traced to the famous 1836 paper of Sturm [1), (here, as elsewhere throughout this manuscript, numbers in square brackets refer to the bibliography at the end of this volume), dealing with oscilla­ tion and comparison theorems for linear homogeneous second order ordinary differential equations. The associated work of Liouville introduced a type of boundary problem known as a "Sturm-Liouville problem", involving, in particular, an introduction to the study of the asymptotic behavior of solu­ tions of linear second order differential equations by the use of integral equations. In the quarter century following the 1891 Gottingen dissertation [1) of Maxime Bacher (1867-1918), he was instru­ mental in the elaboration and extension of the oscillation, separation, and comparison theorems of Sturm, both in his many papers on the subject and his lectures at the Sorbonne in 1913-1914, which were subsequently published as his famous Leaons sur Zes methodes de Sturm [7).

Dados detalhados do livro - Sturmian Theory for Ordinary Differential Equations


EAN (ISBN-13): 9780387905426
ISBN (ISBN-10): 0387905421
Livro de capa dura
Livro de bolso
Ano de publicação: 1981
Editor/Editora: Springer New York
584 Páginas
Peso: 0,807 kg
Língua: eng/Englisch

Livro na base de dados desde 2008-05-19T00:35:51-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-06T09:14:01-03:00 (Sao Paulo)
Número ISBN/EAN: 0387905421

Número ISBN - Ortografia alternativa:
0-387-90542-1, 978-0-387-90542-6
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: reid william, william burns, herdman
Título do livro: equation, sturmian theory for ordinary differential equations, something out the ordinary, applied differential equations

Dados da editora

Autor: William T. Reid
Título: Applied Mathematical Sciences; Sturmian Theory for Ordinary Differential Equations
Editora: Springer; Springer US
560 Páginas
Ano de publicação: 1981-02-20
New York; NY; US
Língua: Inglês
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XVI, 560 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Equations; Hilbert space; Sturmsche Theorie; differential equation; ordinary differential equation; Analysis; EA

I. Historical Prologue.- 1. Introduction.- 2. Methods Based Upon Variational Principles.- 3. Historical Comments on Terminology.- II. Sturmian Theory for Real Linear Homogeneous Second Order Ordinary Differential Equations on a Compact Interval.- 1. Introduction.- 2. Preliminary Properties of Solutions of (1.1).- 3. The Classical Oscillation and Comparison Theorems of Sturm.- 4. Related Oscillation and Comparison Theorems.- 5. Sturmian Differential Systems.- 6. Polar Coordinate Transformations.- 7. Transformations for Differential Equations and Systems.- 8. Variational Properties of Solutions of (1.1).- 9. Comparison Theorems.- 10. Morse Fundamental Quadratic Forms for Conjugate and Focal Points.- 11. Survey of Recent Literature.- 12. Topics and Exercises.- III. Self-Adjoint Boundary Problems Associated with Second Order Linear Differential Equations.- 1. A Canonical Form for Boundary Conditions.- 2 Extremum Problems for Self-Adjoint Systems.- 3. Comparison Theorems.- 4. Comments on Recent Literature.- 5. Topics and Exercises.- IV. Oscillation Theory on a Non-Compact Interval.- 1. Introduction.- 2. Integral Criteria for Oscillation and Non-Oscillation.- 3. Principal Solutions.- 4. Theory of Singular Quadratic Functionals.- 5. Interrelations Between Oscillation Criteria and Boundary Problems.- 6. Strong and Conditional Oscillation.- 7. A Class of Sturmian Problems on a Non-Compact Interval.- 8. Topics and Exercises.- V. Sturmian Theory for Differential Systems.- 1. Introduction.- 2. Special Examples.- 3. Preliminary Properties of Solutions of (2.5).- 4. Associated Riccati Matrix Differential Equations.- 5. Normality and Abnormality.- 6. Variational Properties of Solutions of (3.1).- 7. Comparison Theorems.- 8. Morse Fundamental Hermitian Forms.- 9. Generalized Polar Coordinate Transformations for Matrix Differential Systems.- 10. Matrix Oscillation Theory.- 11. Principal Solutions.- 12. Comments on Systems (3.1) Which are Not Identically Normal.- 13. Comments on the Literature on Oscillation Theory for Hamiltonian Systems (3.1).- 14. Higher Order Differential Equations.- 15. Topics and Exercises.- VI. Self-Adjoint Boundary Problems.- 1. Introduction.- 2. Normality and Abnormality of Boundary Problems.- 3. Self-Adjoint Boundary Problems Associated with (B).- 4. Comparison Theorems.- 5. Treatment of Self-Adjoint Boundary Problems by Matrix Oscillation Theory.- 6. Notes and Comments on the Literature.- 7. Topics and Exercises.- VII. A Class of Definite Boundary Problems.- 1. Introduction.- 2. Definitely Self-Adjoint Boundary Problems.- 3. Comments on Related Literature.- 4. Topics and Exercises.- VIII. Generalizations of Sturmian Theory.- 1. Introduction.- 2. Integro-Differential Boundary Problems.- 3. A Class of Generalized Differential Equations.- 4. Hestenes Quadratic Form Theory in a Hilbert Space.- 5. The Weinstein Method of Intermediate Problems.- 6. Oscillation Phenomena for Hamiltonian Systems in a B*-Algebra.- 7. Topological Interpretations of the Sturmian Theorems.- Abbreviations for Mathematical Publications Most Frequently Used.- Special Symbols.- Author Index.
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