LIMITED OFFER
Save 50% on book bundles
Immediately download your ebook while waiting for your print delivery. No promo code needed.
Boundary Value Problems for Systems of Differential, Difference and Fractional Equations
Positive Solutions
- 1st Edition - October 1, 2015
- Authors: Johnny Henderson, Rodica Luca
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 0 3 6 5 2 - 5
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 0 3 6 7 9 - 2
Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings to… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteBoundary 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.
- Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions
- Discusses second order difference equations with multi-point boundary conditions
- Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Graduate students and research faculty at universities
- Dedication
- Preface
- About the authors
- Acknowledgments
- 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
- No. of pages: 322
- Language: English
- Edition: 1
- Published: October 1, 2015
- Imprint: Elsevier
- Paperback ISBN: 9780128036525
- eBook ISBN: 9780128036792
JH
Johnny Henderson
Affiliations and expertise
Department of Mathematics, Baylor University, Waco, Texas, USARL
Rodica Luca
Affiliations and expertise
Department of Mathematics, “Gheorghe Asachi” Technical University of Iasi, RomaniaRead Boundary Value Problems for Systems of Differential, Difference and Fractional Equations on ScienceDirect