JournalszaaVol. 3, No. 1pp. 65–79

Necessary optimality conditions for systems described by nonlinear elliptic equations. I (in Russian)

  • Uldis Raitums

    University of Latvia, Riga, Latvia
Necessary optimality conditions for systems described by nonlinear elliptic equations. I (in Russian) cover
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Abstract

This paper considers optimal control problems for systems governed by second order elliptic differential equations in divergence form with nonlinear terms and control appear in all terms. The representation of the main part of increment for a solution of the state equation is given in the case of needle-like variations.

Cite this article

Uldis Raitums, Necessary optimality conditions for systems described by nonlinear elliptic equations. I (in Russian). Z. Anal. Anwend. 3 (1984), no. 1, pp. 65–79

DOI 10.4171/ZAA/90