TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Original Articles

Analytic Functions on Time Scales

* Corresponding author · click or hover a name for details

pp. 101–112Vol. 6Issue 2June 2013DOI: 10.1080/1726037X.2008.10698550XML
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2008.10698550
Pages:
101–112

Abstract

The paper considers analytic functions defined on time scales. It is shown that locally the sum of the sequence of almost uniformly convergent analytic functions on some subset of time scale is also an analytic function on this subset. The main result proves that the solution of the initial value problem on any time scale with right hand analytic function is also the analytic function on this time scale.

Keywords

References

  1. Agarwal, R.P. and Bohner, M.1999 . Basic calculus on time scales and some its applications . , 35 ( 1-2 ) : 3 – 22 .
  2. Bartosiewicz, Z. and Pawłuszewicz, E.2006 . Realizations of linear control systems on time scales . , 35 : 769 – 786 .
  3. Bohner, M. and Guseinov, G.Sh.2006 . An introduction to complec functions on products of two time scales . , 12 ( 3–4 ) : 369 – 384 .
  4. Bohner, M. and Guseinov, G. Sh.2007 . The convolution on time scales . , Article ID 58373
  5. Bohner, M. and Lutz, D.A.2006 . Asympotic expansions and analytic dynamic equations . , 86 : 37 – 45 .
  6. Bohner, M. and Peterson, A.2001 . Dynamic equations on time scales . ,
  7. DaCunha, J. J.2005 . Transition matrix and generalized matrix exponential via the Peano-Baker series . , 11 ( 15 ) : 1245 – 1264 .
  8. Ferreira, R.A.C. and Torres, D.F.A.2008 . “ Higher-Order Calculus of Variations on Time Scales ” . In , Edited by: Sarychv, A., shiryaev, A., Guerra, M. and do Rairo Grossinho, M.149 – 160 . Springer-Verlag .
  9. Guseiov, G.Sh. and Kaymaçalan, B.2002 . Basics of Reimann delta and nabla integration on time scales . , 8 ( 11 ) : 1001 – 1017 .
  10. Hilger, S.1990 . Analysis on measure chains - a unifed approach to continuous and discrete calculus . , 18 : 19 – 56 .
  11. Hilscher, R. and Zeidan, V.2004 . Calculus of variations on time scales: weak local piecewise solutions with variable endpoints . , 289 : 143 – 166 .
  12. Mozyrska, D. and Pawłuszewicz, E.2008 . Functional series on time scales . , 2 : 95 – 106 .
  13. Yantir, A. and Ufuktepe, U.2005 . “ Mathematica Applications on Time Scales for Calculus ” . In , Vol. 3482 , 529 – 537 . Springer-Verlag .
  14. Yantir, A. and Ufuktepe, U.2003 . “ Basics Calculus on Time Scales with Mathematica ” . In , Vol. 2576 , 821 – 827 . Springer-Verlag .
Views: 37Downloads: 72Citations: 3