Rovshan Z. GUMBATALIEV

5599

On completeness of elementary generalized solutions of a class of operator-differential equations of a higher order

In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes the process of corrosive fracture of metals in aggressive media and the principal part of the equation has multiple characteristics.

Anahtar Kelimeler:

Hilbert space, existence of generalized solution, operator-differential equation.

On completeness of elementary generalized solutions of a class of operator-differential equations of a higher order

In this paper we give definition of m-fold completeness and prove a theorem on completeness of elementary generalized solution of corresponding boundary value problems at which the equation describes the process of corrosive fracture of metals in aggressive media and the principal part of the equation has multiple characteristics.

Keywords:

Hilbert space, existence of generalized solution, operator-differential equation.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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