Construction of differential equation approximations to delay differential equations

Abstract

A constructive method is presented for obtaining differential equation approximations to general functional delay differential equations. It is shown that the approximating differential equation systems can be used to determine the stability of the functional differential equations

Keywords:

• Functional differential equations
• approximation
• asymptotic stability
• 34K20
• 34C11

AMS(MOS)::

• 34K20
• 34C11

^*The first author was partially supported by NSF Grant No. DMS-8703631

^*The first author was partially supported by NSF Grant No. DMS-8703631

Notes

^*The first author was partially supported by NSF Grant No. DMS-8703631