Vartiational optimal-control problems with delayed arguments on time scales

Advances in Difference Equations

Volumn 2009, Issue , 2009, Pages

  Abdeljawad, Thabet ^a   Jarad, Fahd ^a   Baleanu, Dumitru ^a,b  

^a CANKAYA UNIVERSITY   (Turkey)

^b INSTITUTE OF SPACE SCIENCES   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052684335     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/2009/840386     Document Type: Article

References (20)

1. Rosenblueth J. F., Systems with time delay in the calculus of variations: a variational approach IMA Journal of Mathematical Control and Information 1988 5 2 125 145
2. Young L. C., Lectures on the Calculus of Variations and Optimal Control Theory 1969 Philadelphia, Pa, USA Saunders xi+331
3. Hilger S., Analysis on measure chains, a unified approach to continuous and discrete calculus Results in Mathematics 1990 18 1-2 18 56
4. Bohner M., Peterson A., Dynamic Equations on Time Scales. An Introduction with Application 2001 Boston, Mass, USA Birkhuser x+358
5. Atici F. M., Biles D. C., Lebedinsky A., An application of time scales to economics Mathematical and Computer Modelling 2006 43 7-8 718 726
6. Guseinov G. Sh., Integration on time scales Journal of Mathematical Analysis and Applications 2003 285 1 107 127 (Pubitemid 37141642)
7. Ferreira R. A. C., Torres D. F. M., Higher-order calculus of variations on time scales Mathematical Control Theory and Finance 2008 Berlin, Germany Springer 149 159
8. Almeida R., Torres D. F. M., Isoperimetric problems on time scales with nabla derivatives Journal of Vibration and Control 2009 15 6 951 958
9. Bohner M., Calculus of variations on time scales Dynamic Systems and Applications 2004 13 3-4 339 349 (Pubitemid 40162923)
10. Ferreira R. A. C., Torres D. F. M., Remarks on the calculus of variations on time scales International Journal of Ecological Economics Statistics 2007 9 F07 65 73
11. Malinowska A. B., Torres D. F. M., Strong minimizers of the calculus of variations on time scales and the Weierstrass condition. to appear in Proceedings of the Estonian Academy of Sciences
12. Bartosiewicz Z., Torres D. F. M., Noethers theorem on time scales Journal of Mathematical Analysis and Applications 2008 342 2 1220 1226
13. Baleanu D., Maaraba T., Jarad F., Fractional variational principles with delay Journal of Physics A 2008 41 31 8
14. Agrawal O. P., Gregory J., Spector P., A Bliss-type multiplier rule for constrained variational problems with time delay Journal of Mathematical Analysis and Applications 1997 210 2 702 711 (Pubitemid 127165336)
15. Cadzow J. A., Discrete calculus of variations International Journal of Control 1970 11 3 393 407
16. Bangerezako G., Variational q-calculus Journal of Mathematical Analysis and Applications 2004 289 2 650 665 (Pubitemid 38131001)
17. Martins N., Torres D. F. M., Calculus of variations on time scales with nabla derivatives Nonlinear Analysis: Theory, Method Applications 2008 71 12 763 773
18. Atici F. M., Guseinov G. Sh., On Greens functions and positive solutions for boundary value problems on time scales Journal of Computational and Applied Mathematics 2002 141 1-2 75 99 (Pubitemid 34452345)
19. Bohner M., Peterson A., Advances in Dynamic Equations on Time Scales 2003 Boston, Mass, USA Birkhuser xii+348
20. Abdeljawad T., A note on the chain rule on time scales Journal of Arts and Sciences 2008 9 1 6