Functional Differential Equations and Dynamic Equations on Time Scales

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.

  Inhalt

Preface.- Recent results for Liénard like equations with 𝜑-laplacian on timescales.- Ulam stability and instability of firstorder linear 𝜔periodic dynamic equations on isolated time scales.- Solutions of dynamic SturmLiouville conformable initial and boundary value problems.- Dynamic Hermite-Hadamard inequality for 𝑟-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 steadystate 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 𝐻1 (R𝑛).- Periodic solutions of a class of perturbed implicit equations with memory.- Index.