# differential operator

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## differential operator

[‚dif·ə′ren·chəl ′äp·ə‚rād·ər]
(mathematics)
An operator on a space of functions which maps a function ƒ into a linear combination of higher-order derivatives of ƒ.
References in periodicals archive ?
Our approach of adaptive representation of functions together with an adaptive resolution of differential operators is clearly inspired by the Chebfun system [3] with its chebop functionality [12].
x[member of]A] x), a differential operator f(D) with constant coefficients leaves [B.
Abdulhalim, On a class of analytic functions involving the Salagean differential operator, Tamkang Journal of Mathematics, 23(1992), No.
Depending on the physics of the problem and on the degree of the differential operator, the governing differential equation may involve some boundary conditions.
Characterization of the resolvent of a differential operator generated by a pair of singular ordinary differential expressions satisfying certain matching interface conditions.
Hormander, Linear Partial Differential Operators, Springer-Verlag, New York, 1969.
In this regards one can choose some definitions of quaternion differential operator, for instance the Moisil-Theodoresco operator [11]
This operation corresponds to applying tire exponential of a differential operator over the function corresponding to the message, since
Later, Trimeche [18] extended the theory of mean-periodic functions to a class of singular second-order differential operator on the half-line.
The differential operator studied here, unifies the above mentioned differential operators.
This is not a repetition of a differential operator (vector field) X, [X.
Here J is an integral operator, inverse to the differential operator [partial derivavtive]/[partial derivative][bar.

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