| Description |
1 online resource (xv, 145 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Mathematics research developments
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Mathematics research developments series.
|
| Bibliography |
Includes bibliographical references. |
| Contents |
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 |
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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 |
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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 |
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7.5. The Lidstone Case7.6. Periodic Oscillations of the Axis of a Satellite; References |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Boundary value problems.
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Boundary value problems. |
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Boundary value problems -- Numerical solutions.
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Boundary value problems -- Numerical solutions. |
| Genre/Form |
Electronic books.
|
| Added Author |
Minhós, Feliz, author.
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| Other Form: |
Print version: Fialho, João High Order Boundary Value Problems : Existence, Localization and Multiplicity Results Hauppauge : Nova Science Publishers, Inc.,c2014 9781631177071 |
| ISBN |
9781631177583 (electronic book) |
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1631177583 (electronic book) |
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9781631177071 |
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1631177079 |
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