ON THE STABILITY BY ACTING FORCE WITH PAIR IMAGINING ROOTS FOR THE SECOND ORDER SYSTEM

S. R. Hambardzumyan

doi:10.46991/PYSUA.2003.37.3.050

ON THE STABILITY BY ACTING FORCE WITH PAIR IMAGINING ROOTS FOR THE SECOND ORDER SYSTEM

Authors

S. R. Hambardzumyan Chair of Higher Mathematics and Theoretical Mechanics, Armenian National Agrarian University

DOI:

https://doi.org/10.46991/PYSUA.2003.37.3.050

Keywords:

system for second order of non-linear differential equations, acting force, linear approximation

Abstract

The problem of stability of system for second order of non-linear differential equations in critical case has been considered, when the characteristic equation, corresponding to linear approximation of system, has pair imagining roots. Sufficient conditions have been obtained in case of which the trivial solution of the considered system is either asymptotic stable or non-stable for acting force.

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Published

2003-10-09

Issue

Vol. 37 No. 3 (202) (2003)

Section

Mechanics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Hambardzumyan, S. R. (2003). ON THE STABILITY BY ACTING FORCE WITH PAIR IMAGINING ROOTS FOR THE SECOND ORDER SYSTEM. Proceedings of the YSU A: Physical and Mathematical Sciences, 37(3 (202), 50-56. https://doi.org/10.46991/PYSUA.2003.37.3.050