DOAJ Open Access 2024

A Study of the Stability of Integro-Differential Volterra-Type Systems of Equations with Impulsive Effects and Point Delay Dynamics

Manuel De la Sen

Abstrak

This research relies on several kinds of Volterra-type integral differential systems and their associated stability concerns under the impulsive effects of the Volterra integral terms at certain time instants. The dynamics are defined as delay-free dynamics contriobution together with the contributions of a finite set of constant point delay dynamics, plus a Volterra integral term of either a finite length or an infinite one with intrinsic memory. The global asymptotic stability is characterized via Krasovskii–Lyapuvov functionals by incorporating the impulsive effects of the Volterra-type terms together with the effects of the point delay dynamics.

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M

Manuel De la Sen

Format Sitasi

Sen, M.D.l. (2024). A Study of the Stability of Integro-Differential Volterra-Type Systems of Equations with Impulsive Effects and Point Delay Dynamics. https://doi.org/10.3390/math12070960

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.3390/math12070960
Akses
Open Access ✓