Exponential Stability of Volterra Integro-Dynamic Sylvester Matrix System on Time Scales

Authors

  • Harisha Chintamaneni Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, 522302, Andhra Pradesh, India
  • Venkata Appa Rao Bhogapurapu Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, 522302, Andhra Pradesh, India
  • Sreenivasulu Ayyalappagari Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, 522302, Andhra Pradesh, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6090

Keywords:

Exponential stability, Volterra Integro-dynamical system, Kronecker Product, Time scales

Abstract

This article investigates the exponential stability of the Volterra integro-dynamic (VID) Sylvester matrix system on time scales. The analysis begins by transforming the exponential stability VID Sylvester matrix system into an equivalent Kronecker product VID system using the vectorization operator. Subsequently, the boundedness properties of the solutions are rigorously established. Moreover, the theoretical results formulated on an arbitrary time scale unify and extend the stability conditions for both integral and discrete Volterra equations. Finally, the efficacy and validity of these findings are substantiated through diverse time scale scenarios, accompanied by a graphical comparative analysis.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Differential Equations

License

Copyright (c) 2025 Harisha Chintamaneni , Venkata Appa Rao Bhogapurapu, Sreenivasulu Ayyalappagari

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How to Cite

Exponential Stability of Volterra Integro-Dynamic Sylvester Matrix System on Time Scales. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6090. https://doi.org/10.29020/nybg.ejpam.v18i2.6090