Sentence examples for abstract operator from inspiring English sources

Because these problems can be regarded as abstract operator equations.

In addition, the compressive conditions of abstract operator can be removed.

We use the Green function to reformulate boundary value problems into an abstract operator equation.

In [39], Ge and Ren extended Mawhin's continuation theorem, which is used to deal with more general abstract operator equations.

This problem is characterized by the presence of abstract operator functions and complex-valued variable coefficients in the principal part.

If conditions (2.16) and (2.21) hold, then the abstract operator equation (2.10) has a unique solution in bounded by.

The problems contain abstract operators and nonlocal boundary conditions.

We could also refer to papers [8 10] where trace formulas for abstract operators are obtained.

Now make use of the theorem proved in [20] for abstract operators.

It is worthwhile to note that, several studies are devoted to searching a regularized trace for the concrete operators (e.g., [9 18]), as well as differential-operator equations (e.g., [6 8, 19]) and discrete abstract operators (e.g., [20 22]).

Critical to this explanation is the fact that human language manipulates representations of abstract operators and mental states [49].