Approximate solution of variational problems for the mixed type nonlocal functionals

G. A. Kamenskii, E. M. Varfolomeev

Moscow Institute of Aviation, Department of Differential Equations

Abstract: There are considered variational problems for the mixed type nonlocal functionals. The application of the Ritz method and the method of least square for the quadratic functionals of the above-mentioned type are investigated.

Key words: calculus of variations, nonlocal functionals, approximate solutions, methods of least squares and the Ritz method.

UDC: 517.929

Received: 06.06.2003

Language: English

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