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

Authors

ROVSHAN Z. GUMBATALIEV

DOI

10.3906/mat-0802-29

Abstract

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.

First Page

383

Last Page

396

Recommended Citation

GUMBATALIEV, ROVSHAN Z. (2009) "On completeness of elementary generalized solutions of a class of operator-differential equations of a higher order," Turkish Journal of Mathematics: Vol. 33: No. 4, Article 8. https://doi.org/10.3906/mat-0802-29
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/8