Nonstandard Discretization Scheme in Volterra Integro-differential Equations that Preserves Uniform Asymptotic Stability
DOI:
https://doi.org/10.15377/2409-5761.2026.13.2Keywords:
Resolvent, Uniform stability, Nonstandardized discretization, Volterra integro-differential equationsAbstract
We apply a nonstandard discretization scheme to continuous Volterra integro-differential equations and we show that under this discretization, the necessary and sufficient conditions for uniform asymptotic stability of continuous Volterra integro-differential equations are preserved. Our analysis is based on the notion of resolvent. An example is provided as an application to our theory.
1991 Mathematics Subject Classification. Primary: 39A10, 34A97.
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Copyright (c) 2026 Youssef N. Raffoul, Svetlin G. Georgiev, Halis C. Koyuncuoglu, Marko Kostic
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