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151102s2016 ne ob 001 0 eng d |
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|a 927972737
|a 1105190634
|a 1105571113
|a 1151704631
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|a 9780128036792
|q (electronic bk.)
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|a 0128036796
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|z 0128036524
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|z 9780128036525
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|a (OCoLC)927296643
|z (OCoLC)927972737
|z (OCoLC)1105190634
|z (OCoLC)1105571113
|z (OCoLC)1151704631
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|a QA379
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|a MAT
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|a 515/.35
|2 23
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|a Henderson, Johnny,
|e author.
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|a Boundary value problems for systems of differential, difference and fractional equations :
|b positive solutions /
|c Johnny Henderson and Rodica Luca.
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|a Amsterdam :
|b Elsevier,
|c [2016]
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|c �2016
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|a 1 online resource
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|a text
|b txt
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|a computer
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|2 rdamedia
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|a online resource
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|a Online resource; title from PDF title page (EBSCO, viewed November 4, 2015).
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|a Includes bibliographical references and index.
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|a Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed.
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|a Front Cover -- Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions -- Copyright -- Dedication -- Contents -- Preface -- About the authors -- Acknowledgments -- Chapter 1: Systems of second-order ordinary differential equations -- 1.1 Existence of positive solutions -- 1.1.1 Presentation of the problem -- 1.1.2 Auxiliary results -- 1.1.3 Main existence results -- 1.1.4 Examples -- 1.2 Nonexistence of positive solutions -- 1.2.1 Main nonexistence results -- 1.2.2 An example
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|a 1.3 Existence and multiplicity of positive solutions1.3.1 Presentation of the problem -- 1.3.2 Main results -- 1.3.3 Examples -- 1.4 Systems with singular nonlinearities -- 1.4.1 Presentation of the problem -- 1.4.2 Main results -- 1.4.3 Examples -- 1.5 Remarks on some particular cases -- 1.5.1 Systems with parameters -- 1.5.2 Systems without parameters and nonsingular nonlinearities -- 1.5.3 Systems without parameters and singular nonlinearities -- 1.6 Boundary conditions with additional positive constants -- 1.6.1 Presentation of the problem
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|a 1.6.2 Auxiliary results1.6.3 Main results -- 1.6.4 An example -- Chapter 2: Systems of higher-order ordinary differential equations -- 2.1 Existence and nonexistence of positive solutions -- 2.1.1 Presentation of the problem -- 2.1.2 Auxiliary results -- 2.1.3 Main results -- 2.1.4 Examples -- 2.2 Existence and multiplicity of positive solutions -- 2.2.1 Nonsingular nonlinearities -- 2.2.2 Singular nonlinearities -- 2.3 Remarks on a particular case -- 2.3.1 Auxiliary results -- 2.3.2 Main results -- 2.4 Boundary conditions with additional positive constants
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|a 2.4.1 Presentation of the problem2.4.2 Main results -- 2.4.3 An example -- 2.5 System of semipositone integral boundary value problems -- 2.5.1 Presentation of the problem -- 2.5.2 Auxiliary results -- 2.5.3 Main result -- 2.5.4 Examples -- Chapter 3: Systems of second-order difference equations -- 3.1 Existence and nonexistence of positive solutions -- 3.1.1 Presentation of the problem -- 3.1.2 Auxiliary results -- 3.1.3 Main results -- 3.1.4 Examples -- 3.2 Existence and multiplicity of positive solutions -- 3.2.1 Presentation of the problem
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|a 3.2.2 Main results3.2.3 An example -- 3.3 Remarks on some particular cases -- 3.3.1 Systems with parameters -- 3.3.2 Systems without parameters -- 3.4 Boundary conditions with additional positive constants -- 3.4.1 Presentation of the problem -- 3.4.2 Main results -- 3.4.3 An example -- Chapter 4: Systems of Riemann-Liouville fractional differential equations -- 4.1 Existence and nonexistence of positive solutions for systems with parameters and uncoupled boundary conditions -- 4.1.1 Presentation of the problem -- 4.1.2 Preliminaries and auxiliary results
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|a Boundary value problems.
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650 |
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|a Functional differential equations.
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650 |
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|a Probl�emes aux limites.
|0 (CaQQLa)201-0019897
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650 |
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|a �Equations diff�erentielles fonctionnelles.
|0 (CaQQLa)201-0078529
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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650 |
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7 |
|a Boundary value problems
|2 fast
|0 (OCoLC)fst00837122
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650 |
|
7 |
|a Functional differential equations
|2 fast
|0 (OCoLC)fst00936063
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1 |
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|a Luca, Rodica,
|e author.
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|i Erscheint auch als:
|n Druck-Ausgabe
|a Henderson, Johnny. Boundary Value Problems for Systems of Differential, Difference and Fractional Equations .
|t Positive Solutions
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856 |
4 |
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|u https://sciencedirect.uam.elogim.com/science/book/9780128036525
|z Texto completo
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