Abstract

The paper deals with the problem of Γ-convergence of functionals involving nonlocal transformation of argument, in particular, the argument deviation. The property of Γ-convergence of the functionals is related with various types of convergence of inner superposition (composition) operators. The study is conducted in Orlicz spaces. Γ-convergence of functionals with impulsive constraints is also studied as one of the applications.

Author information

Contact details are reproduced from the original publication and may be historical.

Mikhail E. Drakhlin

Research Institute, College of Judea and Samaria, Kedumim-Ariel, D.N. Efraim 44820, Israel.

Eugene Stepanov

Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy.

Keywords

  • Calculus of Variations
  • Γ-convergence
  • Functional Differential Equation
  • Orlicz Space

Suggested citation

M. E. Drakhlin, E. Stepanov. “Gamma-convergence for a Class of Functionals with Deviating Argument.” Journal of Convex Analysis 4 (1997), No. 1, 69–89. https://doi.org/10.68381/jca04003

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Published by Heldermann Verlag, 1997. Rights now held by Banach Press.