Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases

Section: Research Paper
Issue
Vol. 10 No. 2 (2013): Volume 10 Issue 2
Pages
13-23

Keywords:

Stability theory, Critical cases, center of gravity

Abstract

In this paper we study the conditions under which the zero solution iscenter of Gravity in the semi-liner case for certain third order differential equation of the form:

We have:


The characteristic equation of the above differential equation has complex roots of the form :
,
and the other root has the following property .

References

Authors

Thair Younis Thanoon

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Zena Talal Yaseen

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2013.163469

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Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases. (2013). AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), 13-23. https://doi.org/10.33899/csmj.2013.163469
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How to Cite

Study Conditions of Center of Gravity for Trivial Solution to Semi Linear Differantial Equation of Third Order in The One Critical Cases. (2013). AL-Rafidain Journal of Computer Sciences and Mathematics, 10(2), 13-23. https://doi.org/10.33899/csmj.2013.163469