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An introduction to nonlinear boundary value problems /

An introduction to nonlinear boundary value problems.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bernfeld, Stephen R.
Otros Autores: Lakshmikantham, V., 1926-2012
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

MARC

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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. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Nonlinear boundary value problems. 
650 0 |a Nonlinear theories. 
650 0 |a Boundary value problems. 
650 6 |a Problèmes aux limites. 
650 6 |a Théories non linéaires. 
650 6 |a Problèmes aux limites non linéaires. 
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. 
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