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Stability properties of second order delay integro-differential equations

✍ Scribed by Ali Fuat Yeniçerioğlu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
580 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

A basic theorem on the behavior of solutions of scalar linear second order delay integrodifferential equations is established. As a consequence of this theorem, a stability criterion is obtained.

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Stability of linear multistep methods fo
Stability of linear multistep methods for delay integro-differential equations
✍ Chengming Huang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 292 KB

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet ty