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Kato Square Root Problem for Elliptic Functional Differential OperatorsKato Square Root Problem for Elliptic Functional Differential Operators
Elliptic functionally-differential equations with contractions of arguments solution to Kato's problem for a large class of operators including, differential-difference operators
Necessary condition for the existence of an intertwining operator and classification of transmutations on its basisThe authors study second-order ordinary differential operators with functional coefficients for all
Solvability of some integro-differential equations with anomalous diffusion and transportThe article deals with the existence of solutions of an integro-differential equation in the case
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
Generalized Solutions of Quasilinear Elliptic Differential-Difference EquationsAbstract: A Dirichlet problem for a functional-differential equation the operator of which
A navier–stokes-type problem with high-order elliptic operator and applications–Stokes problem on half space are derived. The equation involves an abstract operator in a Banach space E
On the existence of variational principles for a differential-difference evolution operatorFor a differential-difference evolution operator, we obtain necessary and sufficient conditions
The existence of eigenvalues for operators acting in L 2(R n) of eigenvalues and characteristic values for operator F(D) − C(λ): L2(Rm) → L2(Rm), where F(D) is a pseudo-differential
On the index of differential-difference operators in an infinite cylinderOn the index of differential-difference operators in an infinite cylinder
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