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for the solution of difference scheme (3).
Assume that,, the solution of difference scheme (2.2)–(2.5) satisfies: (2.20).
Stability estimates for the solution of difference problems are proved.
Stability estimates for the solution of difference schemes are obtained.
For the solution of difference equation (127), we use exactly the same method that we have used for the solution of difference equation (103).
There have been many papers concerned with the properties of solution of difference equations.
Then, for the solution of difference scheme (2), the following stability estimates hold: (44).
In Section 2 we obtain the stability estimates for the solution of difference scheme (6).
Now, we will obtain the stability estimates for the solution of difference scheme (2).
However, noticing the difference between and, the solution of difference equation corresponding to the latter can be obtained directly (see [4]), while the solution of difference equation corresponding to the former (i.e., (1.1) cannot be obtained directly.
Though there are few papers on the existence of finite order meromorphic solution of difference equations (see [3, 9, 11, 12]), there is only one paper concerning with the existence of rational solution of difference Painlevé I equation (see [9]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com