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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fialho, João (Autor), Minhós, Feliz (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Novinka, [2014]
Colección:Mathematics research developments series.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a High order boundary value problems :  |b existence, localization and multiplicity results /  |c João Fialho and Feliz Minhós. 
264 1 |a New York :  |b Novinka,  |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (xv, 145 pages). 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Mathematics research developments 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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. 
505 8 |a 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. 
505 8 |a 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. 
505 8 |a 7.5. The Lidstone Case7.6. Periodic Oscillations of the Axis of a Satellite; References. 
520 |a 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. Therefore, the challenge of finding a solution for a boundary value problem is replaced by the search of two functions (well-ordered, in reversed order or non-ordered) satisfying adequate differential inequalities and boundary conditions. The freedom to choose such functions is at the same time its weak. 
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650 7 |a Boundary value problems.  |2 fast  |0 (OCoLC)fst00837122 
650 7 |a Boundary value problems  |x Numerical solutions.  |2 fast  |0 (OCoLC)fst00837129 
700 1 |a Minhós, Feliz,  |e author. 
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