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Functional Differential Equations and Dynamic Equations on Time Scales: With Applications to Continuum Mechanics [Kietas viršelis]

  • Formatas: Hardback, 244 pages, aukštis x plotis: 235x155 mm, XIII, 244 p., 1 Hardback
  • Serija: Advances in Continuum Mechanics 52
  • Išleidimo metai: 24-May-2025
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3031833260
  • ISBN-13: 9783031833267
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 244 pages, aukštis x plotis: 235x155 mm, XIII, 244 p., 1 Hardback
  • Serija: Advances in Continuum Mechanics 52
  • Išleidimo metai: 24-May-2025
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3031833260
  • ISBN-13: 9783031833267
Kitos knygos pagal šią temą:
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.
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.- Masseras 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.