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Solvability of degenerating hyperbolic differential equations with unbounded operator coefficients and with operator coefficients in a Banach space and establish sufficient conditions for the unique solvability
Operational matrix approach for solving variable-order fractional integro-differential equations construct both fractional differential and integral operational matrices. These matrices coincide
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
ON SPECTRAL STABILITY PROBLEM FOR A PAIR OF SELF-ADJOINT ELLIPTIC DIFFERENTIAL OPERATORS ON BOUNDED OPEN SETS differential operators in the case of diffeomorphic open sets.
On the index of elliptic operators associated with a diffeomorphism of a manifoldThe index of elliptic operators associated with a diffeomorphism of a manifold is calculated
Spectral Properties of the Fourth Order Differential Operator with Integral ConditionsAbstract: We consider an ordinary fourth-order differential equation with a spectral parameter
A spectral resolution for digital pseudo-differential operatorsAuthors consider a special class of operators acting in discrete spaces and discuss certain its
Sharp Spectral Stability Estimates for Higher Order Elliptic Differential OperatorsSharp Spectral Stability Estimates for Higher Order Elliptic Differential Operators
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