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Boundary value problems for systems of differential, difference and fractional equations : positive solutions /

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 m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Henderson, Johnny (Autor), Luca, Rodica (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, [2016]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Henderson, Johnny,  |e author. 
245 1 0 |a Boundary value problems for systems of differential, difference and fractional equations :  |b positive solutions /  |c Johnny Henderson and Rodica Luca. 
264 1 |a Amsterdam :  |b Elsevier,  |c [2016] 
264 4 |c �2016 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a Online resource; title from PDF title page (EBSCO, viewed November 4, 2015). 
504 |a Includes bibliographical references and index. 
520 |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. 
505 0 |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 
505 8 |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 
505 8 |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 
505 8 |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 
505 8 |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 
650 0 |a Boundary value problems. 
650 0 |a Functional differential equations. 
650 6 |a Probl�emes aux limites.  |0 (CaQQLa)201-0019897 
650 6 |a �Equations diff�erentielles fonctionnelles.  |0 (CaQQLa)201-0078529 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Boundary value problems  |2 fast  |0 (OCoLC)fst00837122 
650 7 |a Functional differential equations  |2 fast  |0 (OCoLC)fst00936063 
700 1 |a Luca, Rodica,  |e author. 
776 0 8 |i Erscheint auch als:  |n Druck-Ausgabe  |a Henderson, Johnny. Boundary Value Problems for Systems of Differential, Difference and Fractional Equations .  |t Positive Solutions 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780128036525  |z Texto completo