Periodic Solution for Almost Linear Volterra Integro-dynamic Matrix Sylvester System on Measure Chains
DOI:
https://doi.org/10.5890/DNC.2025.06.001Abstract
The primary aim of this paper is to identify periodic solutions within an almost linear Volterra Integro-dynamic matrix Sylvester system operating on measure chains. Initially, we undertake a transformation of the Volterra Integro-dynamic matrix Sylvester system into the Kronecker Product Volterra Integro-dynamic System on measure chains through vectorization operations. Subsequent to this transformation, we proceed to establish the existence of periodic solutions for the Kronecker Product Volterra Integro-dynamic system on measure chains, by using Banach fixed point theorem. Importantly, our investigation extends to encompass periodic measure chains operating under both continuous and discrete conditions.References
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