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We find the criteria for the solvability of the operator equation AX − XB = C, where A, B , and C are unbounded operators, and use the result to show existence and regularity

The main purpose of this paper is to establish new inequalities like those given in Theorems A, B and C, but now for the classes of m-convex functions (Section 2) and (α,

More general problem of evaluation of higher derivatives of Bessel and Macdonald functions of arbitrary order has been solved by Brychkov in [7].. However, much more

We initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a second grade fluid filling a bounded domain of R

Also, extended F-expansion method showed that soliton solutions and triangular periodic solutions can be established as the limits of Jacobi doubly periodic wave solutions.. When m →

Figure 4: Mean follicular fluid (FF) O 2 concentration versus follicle radius for (A) the COC incorporated into the follicle wall, (B) the COC resting on the inner boundary of

iv Relation 2.13 shows that to lowest order in the perturbation, the group of energy basis matrix elements of any observable A corresponding to a fixed energy difference E m − E n

3-dimensional loally symmetri ontat metri manifold is of onstant urvature +1. or