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Sectorial differential-difference operators with degeneration of the corresponding sectorial operator. The Friedrichs extension of the differential difference operator LR

DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTUREWe consider a nonnegative differential-difference operator with degeneration. It is proved

On the Construction of a Variational Principle for a Certain Class of Differential-Difference Operator Equations principles for a given first-order differential-difference operator equation with a special form

A property of regularly accretive differential difference operators with degeneracyWe consider elliptic differential-difference operators with degeneration in a bounded domain

THE KATO CONJECTURE FOR STRONGLY ELLIPTIC DIFFERENTIAL-DIFFERENCE OPERATOR IN A CYLINDER WITH MIXED BOUNDARY CONDITIONSWe consider a strongly elliptic differential-difference operator in a cylinder with mixed boundary

Elliptic differential-difference operators with degeneration and the Kato square root problemWe prove correctness of the Kato square root conjecture for elliptic differential-difference

The First Boundary Value Problem for Quasilinear Parabolic Differential-Difference Equations on the theory of linear differential–difference equations and the theory of monotone (pseudomonotone) operators

Smoothness of Generalized Eigenfunctions of Differential–Difference Operators on a Finite IntervalThe eigenfunction–eigenvalue problem for differential–difference operators is considered

The Construction a Group of Simmetries and the Recursion Operator for Differential Difference Operators with Partial DerivitivesThe group of symmetries for given differential difference operator. The problem of finding out

On the existence of variational principles for a differential-difference evolution operatorFor a differential-difference evolution operator, we obtain necessary and sufficient conditions

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