Existence of Periodic Solutions for a Class of Dynamic Equations with Multiple Time Varying Delays on Time Scales

Agrawal, Divya; Abbas, Syed

doi:10.1007/s12346-023-00886-w

Qual. Theory Dyn. Syst.

2023

DOI: 10.1007/s12346-023-00886-w

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Existence of Periodic Solutions for a Class of Dynamic Equations with Multiple Time Varying Delays on Time Scales

Divya Agrawal,

Syed Abbas

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2024

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Cited by 3 publications

References 31 publications

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Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays

Agrawal,

Dhama,

Kostić

et al. 2024

Math Methods in App Sciences

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This paper explores general coupled dynamic equations on time scales with multiple delays and investigates the existence of periodic solutions using the coincidence degree theory approach. The model studied includes the mathematical models of Nicholson, Mackey–Glass, and Lasota–Wazewska as special cases. Furthermore, we demonstrate that the solutions are not only asymptotically stable but also exponentially synchronized. The presented results significantly extend and complement existing findings in the field. The paper concludes with illustrative examples that highlight the practical implications of our analytical discoveries.

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Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays

Agrawal,

Dhama,

Kostić

et al. 2024

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System

Gao

2024

Qual. Theory Dyn. Syst.

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Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics

Gao

2024

Qual. Theory Dyn. Syst.

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Existence of Periodic Solutions for a Class of Dynamic Equations with Multiple Time Varying Delays on Time Scales

Cited by 3 publications

References 31 publications

Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays

Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays

In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System

Symbolic Computation on a (2+1)-Dimensional Generalized Nonlinear Evolution System in Fluid Dynamics, Plasma Physics, Nonlinear Optics and Quantum Mechanics

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