Functional Differential Equations and Dynamic Equations on Time Scales : With Applications to Continuum Mechanics (Advances in Mechanics and Mathematics)

Benevieri, Pierluigi (EDT)/ Mesquita, Jaqueline Godoy (EDT)

Birkhauser Verlag AG（2025/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 244 p.
• 言語 ENG
• 商品コード 9783031833267
• DDC分類 531

Full Description

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.

Contents

Preface.- Recent results for Liénard like equations with 휑-laplacian on timescales.- Ulam stability and instability of first-order linear 휔-periodic dynamic equations on isolated time scales.- Solutions of dynamic Sturm-Liouville conformable initial and boundary value problems.- Dynamic Hermite-Hadamard inequality for 푟-convex symmetric functions on time scales and their applications.- Existence of solutions and continuous dependence on parameters for a class of measure differential equations.- LaSalle-type steady-state oscillation for generalized ordinary differential equations and applications.- Controllability for linear singular systems on time scales.- Massera's theorem for nonlinear dynamic equations on time scales.- Attractors for locally damped Bresse systems and a unique continuation property.- Spectral decomposition of 퐻1 (R푛).- Periodic solutions of a class of perturbed implicit equations with memory.- Index.