Now showing items 1-6 of 6
Correctness of the Two-dimensional Cauchy Problem for a Polynomial Difference Operator with Constant Coeffcients
The correctness of Cauchy problem for a polynomial difference operator is studied. An easily verifiable sufficient condition for correctness of a two-dimensional Cauchy problem for an operator with constant coefficients is proved.
On Uniqueness and Continuous Dependence on the Initial Data of the Solution of a System of Two Loaded Parabolic Equations with the Cauchy Data
We study the Cauchy problem for the system of one-dimensional loaded parabolic equations. Uniqueness and continuous dependence of solutions on the initial data in the class of smooth bounded functions is proved.
On Some Approach for Finding the Resultant of Two Entire Functions
One approach for finding the resultant of two entire functions is discussed in the article. It is based on Newton’s recurrent formulas.