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On the uniform asymptotic stability for a linear integro-differential equation of Volterra type |
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| Authors: | Minoru Funakubo Sadahisa Sakata |
| Affiliation: | a Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Osaka 599-8531, Japan b Research Center for Physics and Mathematics, Osaka Electro-Communication University, Neyagawa, Osaka 572-8530, Japan |
| Abstract: | In this paper, we give a necessary and sufficient condition on the uniform asymptotic stability of the zero solution of a linear integro-differential equation of Volterra type where the ordinary part is ax(t). We put emphasis on the case a>0. The proofs of our results are carried out by using the root analysis of the characteristic equation. In Section 5 we give some conjectures. |
| Keywords: | Asymptotic stability Integro-differential equation Stability region Characteristic equation Delay |
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