Sturmian Theory with Applications

Erscheinungsjahr 2026
ISBN: 978-3-032-37632-9
Verlag: Springer

Medienkombination, Englisch, 1338 Seiten, Format (B × H): 155 mm x 235 mm

This book presents a comprehensive account of Sturmian theory and its wide-ranging applications. The result of a nine-year collaboration, it explores the Sturmian and oscillation theory across various types of differential equations and systems, including difference and dynamic equations on time scales, offering a unique and detailed resource on the subject.

In this work, readers find a historical development of Sturmian theory applied to second-order linear and nonlinear ordinary and partial differential equations, higher-order and singular equations, impulsive differential equations, difference equations, dynamic equations on time scales, systems of various types, fractional and functional differential equations, and integro-differential equations with delay.

This book serves as an essential resource for graduate and advanced undergraduate students, particularly those enrolled in differential equations courses where Sturm-Liouville theory is a prominent topic, and for those beginning their study of partial differential equations. The subject’s relevance to oscillation theory, comparison theorems, and separation theorems also makes it valuable to researchers and practitioners in engineering and related fields.

Zielgruppe

Research

Autoren/Hrsg.

Agarwal, Ravi P.

Bohner, Martin

Özbekler, Abdullah

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

- Preface.- Volume I: - Introduction.- Sturmian Theory for Second-Order Linear Differential Equations.- Sturmian Theory for Second-Order Nonlinear Differential Equations.- Sturmian Theory for Higher-Order Differential Equations.- Sturmian Theory for Singular Differential Equations.- Sturmian Theory for Partial Differential Equations. Volume II: - Sturmian Theory for Second-order Impulsive Differential Inequalities and Equations.- Sturmian Theory for Difference Equations.- Sturmian Theory for Dynamic Equations on Time Scales.- Sturmian Theory for Systems of Differential and Dynamic Equations. - Sturmian Theory for Fractional Differential Equations.- Sturmian Theory for Functional Equations.- Miscellaneous Comparison Results.- Index.

Über Autor(innen)

Ravi P. Agarwal (deceased) was an Emeritus Professor at the Florida Institute of Technology, USA. Previously, he served as a Professor at Texas A&M University in Kingsville, USA.

Martin Bohner is the Curators’ Distinguished Professor of Mathematics and Statistics at Missouri S&T, Rolla, Missouri, USA.

Abdullah Özbekler is a Professor at Ankara University, Department of Computer Science, Ankara, Turkey.