Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions

ISBN-13: 9780128036525 / Angielski / Miękka / 2015 / 322 str.

Henderson, Johnny Tudorache, Rodica Luca

Opis

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.

• 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

Recenzje

"This well-written book is a collection of recent works by the authors who are pioneering researchers in the community of differential and difference equations...This text is a great resource for graduate students and scholars to learn classic methods and latest development in this field." --Zentralblatt MATH

"The monograph contains an extensive bibliography and is suitable, as a reference book, for many researchers specializing in positive solutions and graduate students interested in this field." --Mathematical Reviews

Spis treści

1. Systems of second-order ordinary differential equations with integral boundary conditions

2. Systems of higher-order ordinary differential equations with multipoint boundary conditions

3. Systems of second-order difference equations with multipoint boundary conditions

4. Systems of Riemann-Liouville fractional differential equations with uncoupled integral boundary conditions

5. Systems of Riemann-Liouville fractional differential equations with coupled integral boundary conditions

Bibliography

Index