DOI: 10.68381/jca04003 ISSN: 0944-6532

Gamma-convergence for a Class of Functionals with Deviating Argument

Mikhail E. Drakhlin, Eugene Stepanov

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.