The Variational Method on Variable Domain and Generalized Mathematical Programming Problem
  
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DOI:10.7511/jslx19942016
KeyWord:variable domain,variational method, generalized mathematical programming,functional,
Liu Hongqiu
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Abstract:
      Based on the definition of the variation, the variational method of a functional definde on a variable domain or a variable domain or a variable boundary of domain is obtained. By use of the variational method,the potential energy principle of a elastic system on a variable domain is discussed.On the other hand,corresponding to the classical mathematical programming,the general-ized mathematical programming problem a constrained optimum problem on a variabledomain is researched and the generalized Kuhn-Tucker condition is given.