Two direct methods for obtaining solutions to variational problems

International Game Theory Review

Volumn 6, Issue 1, 2004, Pages 1-13

  Carlson, Dean A ^a  

^a UNIVERSITY OF TOLEDO   (United States)

Author keywords

Calculus of variations; Direct methods

Indexed keywords

EID: 13844319400     PISSN: 02191989     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219198904000034     Document Type: Conference Paper

References (9)

1. Carathéodory, C. [1982]. Calculus of Variations and Partial Differential Equations (New York: Chelsea).
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3. Carlson, D. A. [2002]. "Carathéodory's method for a class of dynamic games", J. Math. Anal. Appl. 276, 561-588.
4. Carlson, D. A. [2002a]. "An observation on two methods of obtaining solutions to variational problems", J. Optimization Theory Appl. 114, 345-361.
5. Dockner, E. J. and Leitmann, G. [2001]. "Coordinate transformation and derivation of open-loop Nash equilibrium", J. Optimization Theory Appl. 110, 1-16.
6. Leitmann, G. [1967]. "A note on absolute extrema of certain integrals", Int. J. Nonlinear Mech. 2, 55-59.
7. Leitmann, G. [2001]. "On a class of direct optimization problems", J. Optimization Theory Appl. 108, 467-482.
8. Leitmann, G. [2001a]. "Some extensions to a direct optimization method", J. Optimization Theory Appl. 111, 1-6.
9. Leitmann, G. [2001b]. "On a method of direct optimization", J. Comp. Tech., (to appear).