Singular Differential and Integral Equations with Applications - Brossura

Agarwal, R.P.; O'Regan, Donal

Brossura

ISBN 10: 9401730059 ISBN 13: 9789401730051

Casa editrice: Springer, 2014

Riassunto

Preface. 1: Differential Equations Singular in the Independent Variable. 1.1. Introduction. 1.2. Preliminaries. 1.3. Initial Value Problems. 1.4. Boundary Value Problems. 1.5. Bernstein Nagumo Theory. 1.6. Method of Upper and Lower Solutions. 1.7. Solutions in Weighted Spaces. 1.8. Existence Results Without Growth Restrictions. 1.9. Nonresonant Problems. 1.10. Nonresonant Problems of Limit Circle Type. 1.11. Nonresonant Problems of Dirichlet Type. 1.12. Resonance Problems. 1.13. Infinite Interval Problems I. 1.14. Infinite Interval Problems II. 2: Differential Equations Singular in the Dependent Variable. 2.1. Introduction. 2.2. First Order Initial Value Problems. 2.3. Second Order Initial Value Problems. 2.4. Positone Problems. 2.5. Semipositone Problems. 2.6. Singular Problems. 2.7. An Alternate Theory for Singular Problems. 2.8. Singular Semipositone Type Problems. 2.9. Multiplicity Results for Positone Problems. 2.10. General Problems with Sign Changing Nonlinearities. 2.11. Problems with Nonlinear Boundary Data. 2.12. Problems with Mixed Boundary Data. 2.13. Problems with Nonlinear Left Hand Side. 2.14. Infinite Interval Problems I. 2.15. Infinite Interval Problems II. 3: Singular Integral Equations. 3.1. Introduction. 3.2. Nonsingular Integral Equations. 3.3. Singular Integral Equations with a Special Class of Kernels. 3.4. Singular Integral Equations with General Kernels. 3.5. A New Class of Integral Equations. 3.6. Singular and Nonsingular Volterra Integral Equations. Problems. References. Subject Index.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2014
• Lingua: Inglese
• ISBN 10: 9401730059
• ISBN 13: 9789401730051
• Rilegatura: Paperback
• Contatto del produttore: non disponibile