Behaviour of Solutions of Linear Systems

VijayalakshmiMenon R

doi:https://doi.org/10.14445/22315373/IJMTT-V50P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 2 | Year 2017 | Article Id. IJMTT-V50P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P520

Behaviour of Solutions of Linear Systems

VijayalakshmiMenon R

Abstract

This paper deals with the behaviour of solutions of linear systems. The notions of stability, boundedness and asymptotic behaviour of solutions of a general linear system are studied.

Keywords

Stability, perturbation, boundedness, almostconstant, trace, perturbed equation, perturbing matrix.

References

[1] BELLMAN. R, Stability theory of differential equations, McGraw-Hill Book Company, INC, 1953, pp 32-60.
[2] BOYCE and DiPrima, Elementary differential equations and boundary value problems, Wiley Nineth Edition, pp 470-520.
[3] DEO. S.G and RAGHAVENDRA.V, Ordinary differential equations and stability theory, Tata McGraw-Hill Publishing Company Ltd, New Delhi, pp 164-205.

Citation :

VijayalakshmiMenon R, "Behaviour of Solutions of Linear Systems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 2, pp. 130-133, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P520