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Volterra integral and differential equations /
Volterra integral and differential equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1983.
|
| Colección: | Mathematics in science and engineering ;
v. 167. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Burton, T. A. |q (Theodore Allen), |d 1935- | |
| 245 | 1 | 0 | |a Volterra integral and differential equations / |c T.A. Burton. |
| 260 | |a New York : |b Academic Press, |c 1983. | ||
| 300 | |a 1 online resource (x, 313 pages) | ||
| 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 Mathematics in science and engineering ; |v v. 167 | |
| 504 | |a Includes bibliographical references (pages 303-307) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Volterra Integral and Differential Equations; Copyright Page; Contents; Preface; Chapter 0. Introduction and Overview; 0.1. Statement of Purpose; 0.2. An Overview; Chapter 1. The General Problems; 1.1. Introduction; 1.2. Relations between Differential and Integral Equations; 1.3. A Glance at Initial Conditions and Existence; 1.4. Building the Intuition; 1.5. Reducible Equations; Chapter 2. Linear Equations; 2.1. Existence Theory; 2.2. Linear Properties; 2.3. Convolution and the Laplace Transform; 2.4. Stability; 2.5. Liapunov Functionals and Small Kernels | |
| 505 | 8 | |a 2.6. Uniform Asymptotic Stability2.7. Reducible Equations Revisited; 2.8. The Resolvent; Chapter 3. Existence Properties; 3.1. Definitions, Background, and Review; 3.2. Existence and Uniqueness; 3.3. Continuation of Solutions; 3.4. Continuity of Solutions; Chapter 4. History, Examples, and Motivation; 4.0. Introduction; 4.1. Volterra and Mathematical Biology; 4.2. Renewal Theory; 4.3. Examples; Chapter 5. Instability, Stability, and Perturbations; 5.1. The Matrix ATB + BA; 5.2. The Scalar Equation; 5.3. The Vector Equation; 5.4. Complete Instability; Chapter 6. Stability and Boundedness | |
| 505 | 8 | |a 6.1. Stability Theory for Ordinary Differential Equations6.2. Construction of Liapunov Functions; 6.3. A First Integral Liapunov Functional; 6.4. Nonlinear Considerations and an Annulus Argument; 6.5. A Functional in the Unstable Case; Chapter 7. Perturbations; 7.1. A Converse Theorem Yielding a Perturbation Result; 7.2. Boundedness under Perturbations; 7.3. Additive Properties of Functionals; Chapter 8. Functional Differential Equations; 8.0. Introduction; 8.1. Existence and Uniqueness; 8.2. Asymptotic Stability; 8.3. Equations with Bounded Delay; 8.4. Boundedness with Unbounded Delay | |
| 505 | 8 | |a 8.5. Limit Sets8.6. Periodic Solutions; 8.7. Limit Sets and Unbounded Delays; References; Author Index; Subject Index | |
| 520 | |a Volterra integral and differential equations. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Volterra equations. | |
| 650 | 0 | |a Integro-differential equations. | |
| 650 | 6 | |a Équations de Volterra. | |
| 650 | 6 | |a Équations intégrodifférentielles. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Integro-differential equations |2 fast | |
| 650 | 7 | |a Volterra equations |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Burton, T.A. (Theodore Allen), 1935- |t Volterra integral and differential equations. |d New York : Academic Press, 1983 |z 9780121473808 |w (OCoLC)316566646 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 167. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=297013 |z Texto completo |
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