Coordinate transformation method for the extremization of multiple integrals

Journal of Optimization Theory and Applications

Volumn 127, Issue 3, 2005, Pages 523-533

  Carlson, D A ^a   Leitmann, G ^b  

^a University of California at Berkeley ^*

^b University of California Berkeley   (United States)

Author keywords

Calculus of variations; Coordinate transformation; Equivalent variational problems

Indexed keywords

CALCULUS OF VARIATIONS; COORDINATE TRANSFORMATION METHODS; COORDINATE TRANSFORMATIONS; EQUIVALENT VARIATIONAL PROBLEM; EXTREMIZATION; MULTIPLE INTEGRAL; VARIATIONAL PROBLEMS;

CALCULATIONS;

EID: 29144456711     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-005-7500-2     Document Type: Article

References (5)

1. LEITMANN, G., A Note on Absolute Extrema of Certain Integrals, International Journal of Nonlinear Mechanics, Vol. 2, pp. 55-59, 1967.
2. n, John Wiley and Sons, New York, NY, 2002.
3. LEITMANN, G., On a Class of Direct Optimization Problems, Journal of Optimization Theory and Applications, Vol. 108, pp. 467-482, 2001.
4. CARLSON, D. A., An Observation on Two Methods of Obtaining Solutions to Variational Problems, Journal of Optimization Theory and Applications, Vol. 114, pp. 345-362, 2002.
5. LEITMANN, G., A Direct Method of Optimization and Its Applications to a Class of Differential Games, Dynamics of Continuous, Discrete, and Impulsive Systems, Series A: Mathematical Analysis, Vol. 11, pp. 191-204, 2004.