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|a Fialho, João,
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|a High order boundary value problems :
|b existence, localization and multiplicity results /
|c João Fialho and Feliz Minhós.
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|a New York :
|b Novinka,
|c [2014]
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|c ©2014
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|a 1 online resource (xv, 145 pages).
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|a Mathematics research developments
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|a Includes bibliographical references.
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|a Print version record.
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|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.
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|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.
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|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.
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|a 7.5. The Lidstone Case7.6. Periodic Oscillations of the Axis of a Satellite; References.
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|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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|a Boundary value problems.
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|a Boundary value problems
|x Numerical solutions.
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|a Problèmes aux limites.
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|a Problèmes aux limites
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|x Mathematical Analysis.
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|a Boundary value problems.
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|a Boundary value problems
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|a Minhós, Feliz,
|e author.
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|i Print version:
|a Fialho, João.
|t High Order Boundary Value Problems : Existence, Localization and Multiplicity Results.
|d Hauppauge : Nova Science Publishers, Inc., ©2014
|z 9781631177071
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