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The Laplace transform /
The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
1984.
|
| Colección: | Series in modern applied mathematics ;
v. 3. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Bellman, Richard, |d 1920-1984. |1 https://id.oclc.org/worldcat/entity/E39PBJbGQkTxQDGgchTVrtDH4q | |
| 245 | 1 | 4 | |a The Laplace transform / |c Richard E. Bellman, Robert S. Roth. |
| 260 | |a Singapore : |b World Scientific, |c 1984. | ||
| 300 | |a 1 online resource (xv, 158 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Series in modern applied mathematics ; |v v. 3 | |
| 500 | |a Includes index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a PREFACE; CONTENTS; Chapter 1 THE LAPLACE TRANSFORM; 1.1 Introduction; 1.2 Functions of a Bounded Variation; 1.3 The Stieltjes Integral; 1.4 Improper Stieltjes Integral; 1.5 The Laplace Transform; 1.6 Existence and Convergence; 1.7 Properties of the Laplace Transform; 1.8 The Inversion of the Laplace Transform; 1.9 The Convolution Theorem; 1.10 Instability of the Inverse of the Laplace Transform; 1.11 The Laplace Transform and Differential Equations; 1.12 Transient Solutions; 1.13 Generating Functions; Problems; Chapter 2 ORDINARY DIFFERENTIAL EQUATIONS; 2.1 Introduction. | |
| 505 | 8 | |a 2.2 Linear Differential Equations With Constant Coefficients2.3 The Laplace Transform Solution; 2.4 Systems of Linear Differential Equations; 2.5 Mismatched Solutions; 2.6 Behavior Of The Higher Derivatives; 2.7 An Example; Problems; Chapter 3 DIFFERENTIAL-DIFFERENCE EQUATIONS; 3.1 Introduction; 3.2 Examples; 3.3 Types of Differential-Difference Equations; 3.4 Existence and Uniqueness; 3.5 Exponential Solutions; 3.6 Laplace-Transform Solutions; 3.7 Order Of Growth Of Solutions; 3.8 The Characteristic Roots; 3.9 Asymptotic Behavior of the Solution; 3.10 The Shift Theorem. | |
| 505 | 8 | |a 3.11 Equations of the Neutral and Advanced Types3.12 Linear Systems Of Differential-Difference Equations; 3.13 A Limiting Case For Differential-Difference Equations; Problems; Chapter 4 PARTIAL DIFFERENTIAL EQUATIONS; 4.1 Introduction; 4.2 The Hyperbolic Partial Differential Equation; 4.3 The Parabolic Partial Differential Equation; 4.4 The Elliptic Partial Differential Equation; Chapter 5 THE RENEWAL EQUATION; 5.1 Introduction; 5.2 The Formal Laplace Transform Solution; 5.3 Exponential Bounds on u(t); 5.4 A Convolution Theorem; 5.5 Use of the Contour Integral Representation. | |
| 505 | 8 | |a 5.6 Some Important Results5.7 Systems of Renewal Equations; 5.8 Branching Processes; Problems; Chapter 6 NUMERICAL INVERSION OF THE LAPLACE TRANSFORM; 6.1 Introduction; 6.2 The Complex Laplace Transform; 6.3 Numerical Quadrature; 6.4 The Legendre Polynomials; 6.5 Numerical Inversion of the Laplace Transform; 6.6 Explicit Inversion Formula; 6.7 Instability of the Inverse of the Laplace Transform; 6.8 Tychonov Regularization; 6.9 Obtaining the Initial Approximation; 6.10 Change of the Time Scale; Problems; SUBJECT INDEX. | |
| 520 | |a The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Laplace transformation. | |
| 650 | 6 | |a Transformation de Laplace. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Laplace transformation |2 fast | |
| 650 | 7 | |a Laplace-Transformation |2 gnd | |
| 650 | 7 | |a Analise Funcional. |2 larpcal | |
| 650 | 7 | |a Transformation de Laplace. |2 ram | |
| 700 | 1 | |a Roth, Robert S. | |
| 758 | |i has work: |a The Laplace transform (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGrbGDHHJRQYq8VJTW7bkC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Bellman, Richard, 1920-1984. |t Laplace transform. |d Singapore : World Scientific, 1984 |z 9971966735 |w (OCoLC)11954595 |
| 830 | 0 | |a Series in modern applied mathematics ; |v v. 3. | |
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