Cargando…
High order boundary value problems : existence, localization and multiplicity results /
The motto for all the results presented in this book is the lower and upper solution method. In short, this method can guarantee not only the existence of a solution for a given boundary value problem but also the location of the solution in a strip defined by the lower and the upper solutions. Ther...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Novinka,
[2014]
|
| Colección: | Mathematics research developments series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- HIGH ORDER BOUNDARY VALUE PROBLEMS: EXISTENCE, LOCALIZATION AND MULTIPLICITY RESULTS; HIGH ORDER BOUNDARY VALUE PROBLEMS: EXISTENCE, LOCALIZATION AND MULTIPLICITY RESULTS; Library of Congress Cataloging-in-Publication Data; Contents; Preface; Introduction; Part I: NONLINEAR BOUNDARY VALUE PROBLEMS: EXISTENCE AND MULTIPLICITY RESULTS; Chapter 1: High Order Periodic Problems; 1.1. Introduction; 1.2. Definitions and a priori Bounds; 1.3. Existence of Periodic Solutions; 1.4. Examples; Chapter 2: New Trends on Lidstone Problems; 2.1. Introduction; 2.2. Definitions and Auxiliary Results.
- 2.3. Existence and Location Result2.4. Generalized Lower and Upper Solutions; Chapter 3: Multiplicity of Solutions; 3.1. Introduction; 3.2. Existence and Nonexistence Results; 3.3. Multiple Solutions to Fully Differential Equations; 3.4. Existence and Nonexistence Results with Unbounded Nonlinearities; 3.5. Multiplicity Results for Unbounded f; 3.6. The London Millennium Bridge Application; Chapter 4: High Order Periodic Impulsive Problems; 4.1. Introduction; 4.2. Definitions and Auxiliary Results; 4.3. Existence of Solutions; Part II: FUNCTIONAL BOUNDARY VALUE PROBLEMS.
- Chapter 5: High Order Problems with Functional Boundary Conditions5.1. Introduction; 5.2. Existence and Location Result in Fourth Order Case; 5.3. Higher Order Problem; 5.4. Conjugate Boundary Value Problems; Chapter 6: Generalized f-Laplacian Equation with Functional Boundary Conditions; 6.1. Introduction; 6.2. Preliminary Results and Definitions; 6.3. Existence and Location Theorem; 6.4. Examples; Chapter 7: Functional Boundary Value Problems; 7.1. Introduction; 7.2. Fourth Order Functional Problems; 7.3. Higher Order Problems Including the Periodic Case; 7.4. Examples.
- 7.5. The Lidstone Case7.6. Periodic Oscillations of the Axis of a Satellite; References.