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An introduction to nonlinear boundary value problems /
An introduction to nonlinear boundary value problems.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1974.
|
| Colección: | Mathematics in science and engineering ;
v. 109. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 007 | cr cnu---unuuu | ||
| 008 | 090320s1974 nyu ob 001 0 eng d | ||
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| 072 | 7 | |a MAT |x 007000 |2 bisacsh | |
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| 100 | 1 | |a Bernfeld, Stephen R. | |
| 245 | 1 | 3 | |a An introduction to nonlinear boundary value problems / |c Stephen R. Bernfeld, V. Lakshmikantham. |
| 260 | |a New York : |b Academic Press, |c 1974. | ||
| 300 | |a 1 online resource (xi, 386 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. 109 | |
| 504 | |a Includes bibliographical references (pages 368-383) and index. | ||
| 520 | |a An introduction to nonlinear boundary value problems. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; An Introduction to Nonlinear Boundary Value Problems; Copyright Page; Contents; Preface; Acknowledgments; Chapter 1. Methods Involving Differential Inequalities; 1.0. Introduction; 1.1. Existencein the small; 1.2. Upper and Lower Solutions; 1.3. The Modified Function; 1.4. Nagumo's Condition; 1.5. Existence in the Large; 1.6. Lyapunov-Like Functions; 1.7. Existence on Infinite Intervals; 1.8. Super- and Subfunctions; 1.9. Properties of Subfunctions; 1.10. Perron's Method; 1.11. Modified Vector Function; 1.12. Nagumo's Condition (Continued) | |
| 505 | 8 | |a 1.13. Existence in the Large for Systems1.14. Further Results for Systems; 1.15. Notes and comments; Chapter 2. Shooting Type Methods; 2.0. Introduction; 2.1. Uniqueness Implies Existence; 2.2. General Linear Boundary Conditions; 2.3. Weaker Uniqueness Conditions; 2.4. Nonlinear Boundary Conditions; 2.5. Angular Function Technique; 2.6. Fundamental Lemmas; 2.7. Existence; 2.8. Uniqueness; 2.9. Estimation of Number of Solutions; 2.10. Existence of Infinite Number of Solutions; 2.11. Nonlinear Boundary Conditions; 2.12. Notes and Comments; Chapter 3. Topological Methods; 3.0. Introduction | |
| 505 | 8 | |a 3.1. Solution Funnels3.2. Application to Second-Order Equations; 3.3. Wazewski Retract Method; 3.4. Generalized Differential Equations; 3.5. Dependence of Solutions on Boundary Data; 3.6. Notes and Comments; Chapter 4. Functional Analytic Methods; 4.0. Introduction; 4.1. Linear Problems for Linear Systems; 4.2. Linear Problems for Nonlinear Systems; 4.3. Interpolation Problems; 4.4. Further Nonlinear Problems; 4.5. Generalized Spaces; 4.6. Integral Equations; 4.7. Application to Existence and Uniqueness; 4.8. Method of A Priori Estimates; 4.9. Bounds for Solutions in Admissible Subspaces | |
| 505 | 8 | |a 4.10. Leray Schauder's Alternative4.11. Application of Leray-Schauder's Alternative; 4.12. Periodic Boundary Conditions; 4.13. Set-Valued Mappings and Functional Equations; 4.14. General Linear Problems; 4.15. General Results for Set-Valued Mappings; 4.16. Set-Valued Differential Equations; 4.17. Notes and Comments; Chapter 5. Extensions to Functional Differential Equations; 5.0. Introduction; 5.1. Existence in the Small; 5.2. Existence in the Large; 5.3. Shooting Method; 5.4. Nonhomogeneous Linear Boundary Conditions; 5.5. Linear Problems; 5.6. Nonlinear Problems; 5.7. Degenerate Cases | |
| 505 | 8 | |a 5.8. Notes and CommentsChapter 6. Selected Topics; 6.0. Introduction; 6.1. Newton's Method; 6.2. The Goodman-Lance Method; 6.3. The Method of Quasilinearization; 6.4. Nonlinear Eigenvalue Problems; 6.5. n-Parameter Families and Interpolation Problems; 6.6. Notes and Comments; Bibliography; Additional Bibliography; Index | |
| 546 | |a English. | ||
| 650 | 0 | |a Nonlinear boundary value problems. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 0 | |a Boundary value problems. | |
| 650 | 6 | |a Probl�emes aux limites. |0 (CaQQLa)201-0019897 | |
| 650 | 6 | |a Th�eories non lin�eaires. |0 (CaQQLa)201-0031988 | |
| 650 | 6 | |a Probl�emes aux limites non lin�eaires. |0 (CaQQLa)201-0191619 | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Boundary value problems |2 fast |0 (OCoLC)fst00837122 | |
| 650 | 7 | |a Nonlinear boundary value problems |2 fast |0 (OCoLC)fst01038784 | |
| 650 | 7 | |a Nonlinear theories |2 fast |0 (OCoLC)fst01038812 | |
| 700 | 1 | |a Lakshmikantham, V., |d 1926-2012. | |
| 776 | 0 | 8 | |i Print version: |a Bernfeld, Stephen R. |t Introduction to nonlinear boundary value problems. |d New York : Academic Press, 1974 |z 0120931508 |z 9780120931507 |w (DLC) 73021996 |w (OCoLC)796948 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 109. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780120931507 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=109 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/109 |z Texto completo |