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Zbl 1199.34390
Omeike, Mathew
Stability and boundedness of solutions of some non-autonomous delay differential equation of the third order. (English)
[J] An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 55, No. 1, 49-58 (2009). ISSN 1221-8421; ISSN 0041-9109/e

Summary: This paper gives sufficient conditions for the asymptotic stability and uniform boundedness of some non-autonomous nonlinear third order delay differential equations. By constructing Lyapunov functionals, we obtained results in a very simple form.
MSC 2000:
*34K20 Stability theory of functional-differential equations
34K12 Properties of solutions of functional-differential equations

Keywords: stability; boundedness; Lyapunov functional; delay differential equations; third-order differential equations

Cited in: Zbl 1256.34055

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