Stability properties of quadrature-based approximations for integral equations with delay terms
Eleonora Messina1, Claudia Panico1
1Department of Mathematics and Applications, University of Naples Federico Ⅱ, via Cintia, I-80126 Naples, Italy.
Abstract:
We study a class of linear integral equations involving both a discrete delay and a bounded distributed delay. Such equations, as well as their non-linear extensions, arise in the mathematical modelling of biological systems and in control theory. The equations are discretised using quadrature-based methods, and the resulting discrete schemes are analysed with respect to their stability properties. Sufficient conditions are derived under which the discrete formulation preserves the stability characteristics of the underlying continuous problem.
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