Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2019 | OriginalPaper | Chapter

1. Calculus on Time Scales

Author : Svetlin G. Georgiev

Published in: Functional Dynamic Equations on Time Scales

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter is devoted to a brief exposition of the time scale calculus. A detailed discussion of the time scale calculus is beyond the scope of this book; for this reason the author confines to outlining a minimal set of properties needed in the further proceeding.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
next chapter Dynamic Systems
Literature
1.
M. Adivar and Y. Raffoul. Existence of Periodic Solutions in Totally Nonlinear Delay Dynamic Equations, Electron. J. Qual. Theory Differ. Equ., Spec. Ed. 1 (2009), 1–20.
2.
M. Adivar and Y. Raffoul. Shift Operators and Stability in Delayed Dynamic Equations, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 68, 4,(2010), pp. 369–396.
3.
M. Adivar and Y. N. Raffoul. Existence of Periodic Solutions in Totally Nonlinear Delay Dynamic Equations, Electron. J. Qual. Theory Differ. Equ. 2009 (2009), 1–20.MathSciNetCrossRef
4.
R. Agarwal and M. Bohner. Quadratic Functionals for Second Order Matrix Equations on Time Scales, Nonlinear Analysis, 33(1998), pp. 675–692.MathSciNetCrossRef
5.
R. Agarwal, M. Bohner and S. Saker. Oscillation of Second Order Delay Dynamic Equations, Canadian Applied Mathematics Quarterly, Vol. 13, N. 1, 2005.
6.
R. Agarwal, M. Bohner. Basic Calculus on Time Scales and Some of its Applications, Results Math. 35 (1–2) (1999) 3–22.MathSciNetCrossRef
7.
R. Agarwal, M. Bohner, T. Li and C. Zhang. Oscillation Theorems for Fourth-Order Half-Linear Delay Dynamic Equations with Damping. Mediterr. J. Math. 11, 463–475 (2014).MathSciNetCrossRef
8.
R. Agarwal, M. Bohner, D. O’Regan and A. Peterson. Dynamic Equations on Time Scales: A Survey, J. Comput. Appl. Math. 141 (2002) 1–26.MathSciNetCrossRef
9.
R. Agarwal, D. O’Regan, and S.H. Saker. Oscillation Criteria for Second-Order Nonlinear Neutral Delay Dynamic Equations, Journal of Mathematical Analysis and Applications 300 (2004), no. 1, 203–217.MathSciNetCrossRef
10.
R. Agarwal, S. Grace and D. O’Regan. The Oscillation of Certain Higher-Order Functional Differential Equations. Math. Comput. Model. 37, 705–728 (2003).MathSciNetCrossRef
11.
R. Agarwal, M. Bohner, S. Tang, T. Li and C. Zhang. Oscillation and Asymptotic Behavior of Third-Order Nonlinear Retarded Dynamic Equations. Appl. Math. Comput. 219, 3600–3609 (2012).MathSciNetMATH
Metadata
Title
Calculus on Time Scales
Author
Svetlin G. Georgiev
Copyright Year
2019
Book
Functional Dynamic Equations on Time Scales

Print ISBN: 978-3-030-15419-6

Electronic ISBN: 978-3-030-15420-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-15420-2_1

Premium Partner

    Image Credits