Sentence examples for order operator from inspiring English sources

In turn, the second order operator splitting method could be efficiently designed.

The method is blended with fractional complex transformation and modified Riemann-Liouville fractional order operator.

In [14], Bahaa studied the fractional optimal control problem for differential systems with control constraints involving second order operator and in [15] involving infinite order operator.

The second order operator involved in this parabolic equation is strictly elliptic.

However, this property fails when an odd order operator is considered.

1.8 were generalized in [6] to the case higher order operator differences.

The works dedicated to such kind of problems for fourth order operator-differential equations are relatively few.

Convergence properties and accuracy of 2nd and 4th order operator-splitting methods for the ITP method are studied using numerical examples.

Although similar matters of solvability and related problems have already been studied for fourth-order operator-differential equations whose principal parts have multiple characteristic (see, for example, [20, 21], also [22] and some references therein), but they have not been studied for odd order operator-differential equations with multiple characteristic, including those of third-order.

Note that the well-posed and unique solvability and Fredholmness of the boundary value problems for second and third order operator-differential equations with operator boundary conditions have been widely studied both on a finite interval and on the half-axis (see, e.g., [8 17] and the references therein, though far from being complete).

We can also apply it to a fourth-order operator whose eigenvalues were also obtained numerically.