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Existence of generalized solution

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Full-Text Articles in Mathematics

On Completeness Of Elementary Generalized Solutions Of A Class Of Operator-Differential Equations Of A Higher Order, Rovshan Z. Gumbataliev Jan 2009

On Completeness Of Elementary Generalized Solutions Of A Class Of Operator-Differential Equations Of A Higher Order, Rovshan Z. Gumbataliev

Turkish Journal of Mathematics

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.


On Generalized Solution Of A Class Of Higher Order Operator-Differential Equations, Rovshan Z. Gumbataliev Jan 2008

On Generalized Solution Of A Class Of Higher Order Operator-Differential Equations, Rovshan Z. Gumbataliev

Turkish Journal of Mathematics

In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is multi characteristic.