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:
Boundary value problems.
Functional differential equations.
Probl�emes aux limites.
�Equations diff�erentielles fonctionnelles.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Boundary value problems
Functional differential equations
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 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
  • 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
  • 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
  • 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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