Boundary value problems for systems of differential, difference and fractional equations : positive solutions 1st Edition Johnny Henderson

Boundary value problems for systems of differential, difference and fractional equations : positive solutions – Ebook Instant Download/Delivery ISBN(s): 9780128036525,9780128036792,0128036524,0128036796

Product details:

• ISBN-10 ‏ : ‎ 0128036524
• ISBN-13 ‏ : ‎ 978-0128036525
• Author: Henderson, Johnny; Luca, Rodica

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.

Table contents:

1: Systems of second-order ordinary differential equations with integral boundary conditions
Abstract
1.1 Existence of positive solutions for systems with parameters
1.2 Nonexistence of positive solutions
1.3 Existence and multiplicity of positive solutions for systems without parameters
1.4 Systems with singular nonlinearities
1.5 Remarks on some particular cases
1.6 Boundary conditions with additional positive constants
2: Systems of higher-order ordinary differential equations with multipoint boundary conditions
Abstract
2.1 Existence and nonexistence of positive solutions for systems with parameters
2.2 Existence and multiplicity of positive solutions for systems without parameters
2.3 Remarks on a particular case
2.4 Boundary conditions with additional positive constants
2.5 A system of semipositone integral boundary value problems
3: Systems of second-order difference equations with multipoint boundary conditions
Abstract
3.1 Existence and nonexistence of positive solutions for systems with parameters
3.2 Existence and multiplicity of positive solutions for systems without parameters
3.3 Remarks on some particular cases
3.4 Boundary conditions with additional positive constants
4: Systems of Riemann–Liouville fractional differential equations with uncoupled integral boundary conditions
Abstract
4.1 Existence and nonexistence of positive solutions for systems with parameters and uncoupled boundary conditions
4.2 Existence and multiplicity of positive solutions for systems without parameters and uncoupled boundary conditions
4.3 Uncoupled boundary conditions with additional positive constants
4.4 A system of semipositone fractional boundary value problems
5: Systems of Riemann–Liouville fractional differential equations with coupled integral boundary conditions
Abstract
5.1 Existence of positive solutions for systems with parameters and coupled boundary conditions
5.2 Existence and multiplicity of positive solutions for systems without parameters and coupled boundary conditions
5.3 Coupled boundary conditions with additional positive constants
5.4 A system of semipositone coupled fractional boundary value problems
Bibliography
Index

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