Existence Theorems for Nonconvex Problems of Variational Calculus

  • Authors:

  • A. A. Niftiev

  • Affiliations:

  • Institute of Applied Mathematics, State University, Baku, Azerbaidzhan

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2002

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Abstract

A solution to a variational calculus problem is studied under the conditions of integrant convexity. The existence theorem is proved. As an example, a function is given, which satisfies all the conditions of the theorem but is not convex.