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A property of regularly accretive differential difference operators with degeneracyWe consider elliptic differential-difference operators with degeneration in a bounded domain
Elliptic differential-difference equations with incommensurable shifts of argumentstsThis article deals with the problem of strong ellipticity of differential-difference equations
Elliptic differential-difference operators with degeneration and the Kato square root problemWe prove correctness of the Kato square root conjecture for elliptic differential-difference
Helmholtz potentiality conditions for systems of difference-differential equationsFor operators corresponding to systems of pth-order difference-differential equations of neutral
Oscillation theorems for third order nonlinear delay difference equationsSufficient conditions are obtained for the third order nonlinear delay difference equation
On R-Modified Crank-Nicholson Difference Schemes for the Source Identification Parabolic-Elliptic Problem is investigated. The second order of accuracy r-modified Crank-Nicholson difference schemes for the numerical
The Second Boundary Value Problem for Differential-Difference EquationsAbstract: We consider the second boundary value problem for a second-order differential-difference
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
On the behavior of the solutions for linear autonomous mixed type difference equationA class of linear autonomous mixed type difference equations is considered, and some new results
DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTUREWe consider a nonnegative differential-difference operator with degeneration. It is proved
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