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It is a useful tool in obtaining the stability analysis of both linear and nonlinear systems, especially for high-order systems.
The accuracy of the theory is verified by obtaining the stability boundaries of a simply supported beam and comparing the results with the results reported in the literature.
For obtaining the stability condition, we have to find out eigenvalues of the amplification matrix T, but this study is very difficult since all the elements of T are different.
How can we choose the above variable transformation, which is the key to the study of (1.1)? (2) Since it is very difficult to construct a Lypunov functional to (1.1), how can we choose a proper special function for obtaining the stability results, which is significant to our proof?
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We obtained the stability estimate using the conditional stability.
The nail was inserted passing the isthmus to obtain the stability of the nail/screw construct.
and they have obtained the stability of the functional equations (2.2) and (2.3).
In Section 2 we obtain the stability estimates for the solution of difference scheme (6).
Finally, we obtain the stability and boundedness of the solution and present an illustrative example.
Now, we will obtain the stability estimates for the solution of difference scheme (2).
In order to obtain the stability of equilibria of model (1.2), we introduce the following lemmas.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com