Lili Wang, Meng Hu, "Dynamic Behaviors of an Almost Periodic Volterra Integro Dynamic Equation on Time Scales," WSEAS Transactions on Mathematics, vol. 13, pp. 182-191, 2014, DOI:
Lili Wang, Meng Hu. Dynamic Behaviors of an Almost Periodic Volterra Integro Dynamic Equation on Time Scales.
WSEAS Transactions on Mathematics. 2014;13:182-191.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Dynamic Behaviors of an Almost Periodic Volterra Integro Dynamic Equation on Time Scales
Authors: ,
Abstract: This paper is concerned with an almost periodic Volterra integro dynamic equation on time scales. Based on the theory of calculus on time scales, by using differential inequality theory and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained. Then, by using the properties of almost periodic functions and Razumikhin type theorem, sufficient conditions which guarantee the existence of a positive almost periodic solution of the system are obtained. Finally, an example and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.
Pages: 182-191 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #19 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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