Functional Differential Equations and Dynamic Equations on Time Scales With Applications to Continuum Mechanics

This volume presents recent advances in the field of dynamic equations on time scales and functional differential equations, with a focus on how these topics can be used to describe phenomena in continuum mechanics. Chapters investigate important aspects of these equations, such as asymptotic behavior and the qualitative properties of their solutions. Specific topics covered include:

• Ulam stability for dynamic equations
• Generalized ordinary differential equations
• Singular control systems on time scales
• Bresse systems

Functional Differential Equations and Dynamic Equations on Time Scales will be a valuable resource for graduate students and researchers who work in these areas.

Summary

This volume presents recent advances in the field of dynamic equations on time scales and functional differential equations, with a focus on how these topics can be used to describe phenomena in continuum mechanics. Chapters investigate important aspects of these equations, such as asymptotic behavior and the qualitative properties of their solutions. Specific topics covered include:

• Ulam stability for dynamic equations
• Generalized ordinary differential equations
• Singular control systems on time scales
• Bresse systems

Functional Differential Equations and Dynamic Equations on Time Scales
will be a valuable resource for graduate students and researchers who work in these areas.

Product details

• Assisted by: Pierluigi Benevieri (Editor), Jaqueline Godoy Mesquita (Editor), Godoy Mesquita (Editor)
• Publisher: Springer, Berlin
• Content: Book
• Product form: Hardback
• Publication date: 04.04.2025
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis
• EAN: 9783031833267
• ISBN: 978-3-0-3183326-7
• Pages: 244
• Illustrations: XIII, 244 p.
• Dimensions (packing): 15.5 x 1.7 x 23.5 cm
• Weight (packing): 502 g
• Series: Advances in Mechanics and Mathematics; Advances in Continuum Mechanics
• Subjects: Klassische Mechanik, Differential equations, Continuum Mechanics, boundary value problems, Sobolev spaces, Liénard equations, Dynamic equations on time scales, Bresse systems, Leibniz formulas, Dynamic Sturm-Liouville, General ordinary differential equations, Ulam stability, Hermite-Hadamard-type, functional differential equations, r-convex equations, Isolated time scales