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Zbl 0687.34065
Gopalsamy, K.; Zhang, B.G.
On delay differential equations with impulses.
(English)
[J] J. Math. Anal. Appl. 139, No.1, 110-122 (1989). ISSN 0022-247X

The authors' summary: Sufficient conditions are obtained respectively for the asymptotic stability of the trivial solution of $$\dot x(t)+ax(t- \tau)=\sum\sp{\infty}\sb{j=1}b\sb jx(t\sb j-\tau)(t-t\sb j),\quad t\ne t\sb j,$$ and for the existence of a nonoscillatory solution; conditions are also obtained for all solutions to be oscillatory. The asymptotic behaviour of an impulsively perturbed delay-logistic equation is investigated as an extension to a nonlinear equation.
[J.Myjak]
MSC 2000:
*34K20 Stability theory of functional-differential equations

Keywords: oscillation; asymptotic stability; nonoscillatory solution; impulsively perturbed delay-logistic equation

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