A comparison in the theory of calculus of variations on time scales with an application to the Ramsey model

Nonlinear Dynamics and Systems Theory

Volumn 9, Issue 1, 2009, Pages 1-10

  Atici, Ferhan M ^a   McMahan, C S ^a  

^a WESTERN KENTUCKY UNIVERSITY   (United States)

Author keywords

Calculus of variations; Delta derivative; Dynamic model; Nabla derivative; Time scales

Indexed keywords

EID: 63649096585     PISSN: 15628353     EISSN: 18137385     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Atici, F.M., Biles, D.C. and Lebedinsky, A. An application of time scales to economics. Math. and Comput. Modelling 43 (2006) 718-726.
2. Atici, F.M. and Uysal, F. The production-inventory model of HMMS on time scales. Applied Mathematics Letters 21(3) (2008) 236-243.
3. Bohner, M. and Peterson, A. Dynamic Equations on Time Scales. An Introduction with Applications. Birkhäuser, Boston, 2001.
4. Bohner, M. and Peterson, A. Advances in Dynamic Equations on Time Scales. Birkhäuser, Boston, 2003.
5. Bohner, M. Calculus of variations on time scales. Dynam. Systems Appl. 13(3-4) (2004) 339-349.
6. 1 solutions with variable endpoints. J. Math. Anal. Appl. 289(1) (2004) 143-166.
7. Samuelson, P.A. Lifetime portfolio selection by dynamic stochastic programming. The Review of Economics and Statistics 51(3) (1969) 239-246.
8. Sengupta, J. K., Recent models in dynamic economics: problems of estimating terminal conditions, Working Papers in Economics. University of California at Santa Barbara, Series 14-96 (1996) 1-23.