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Functional differential equations and dynamic equations on time scaleswith applications to continuum mechanics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional differential equations and dynamic equations on time scalesedited by Pierluigi Benevieri, Jaqueline Godoy Mesquita.
其他題名:	with applications to continuum mechanics /
其他作者:	Benevieri, Pierluigi.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xiii, 244 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations.
電子資源:	https://doi.org/10.1007/978-3-031-83327-4
ISBN:	9783031833274$q(electronic bk.)

Functional differential equations and dynamic equations on time scaleswith applications to continuum mechanics /
Functional differential equations and dynamic equations on time scaleswith applications to continuum mechanics /[electronic resource] :edited by Pierluigi Benevieri, Jaqueline Godoy Mesquita. - Cham :Springer Nature Switzerland :2025. - xiii, 244 p. :ill., digital ;24 cm. - Advances in continuum mechanics,v. 522524-4647 ;. - Advances in continuum mechanics ;v. 49..

Preface -- Recent results for Liénard like equations with ��-laplacian on timescales -- Ulam stability and instability of first-order linear ��-periodic dynamic equations on isolated time scales -- Solutions of dynamic Sturm-Liouville conformable initial and boundary value problems -- Dynamic Hermite-Hadamard inequality for ��-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 ��1 (R��) -- Periodic solutions of a class of perturbed implicit equations with memory -- Index.

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.

ISBN: 9783031833274$q(electronic bk.)

Standard No.: 10.1007/978-3-031-83327-4doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.35

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505 0 $a Preface -- Recent results for Liénard like equations with 𝜑-laplacian on timescales -- Ulam stability and instability of first-order linear 𝜔-periodic dynamic equations on isolated time scales -- Solutions of dynamic Sturm-Liouville 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 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 𝐻1 (R𝑛) -- Periodic solutions of a class of perturbed implicit equations with memory -- Index.
520 $a 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.
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