Meng Hu, Lili Wang, "Square-Mean Almost Periodic Solutions of Neutral Stochastic Functional Differential Equations on Time Scales," WSEAS Transactions on Mathematics, vol. 13, pp. 353-362, 2014, DOI:
Meng Hu, Lili Wang. Square-Mean Almost Periodic Solutions of Neutral Stochastic Functional Differential Equations on Time Scales.
WSEAS Transactions on Mathematics. 2014;13:353-362.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Square-Mean Almost Periodic Solutions of Neutral Stochastic Functional Differential Equations on Time Scales
Authors: ,
Abstract: In this paper, based on the properties of almost periodic function and exponential dichotomy of linear system on time scales as well as Krasnoselskii’s fixed point theorem, some sufficient conditions are established for the existence of square-mean almost periodic solutions of neutral stochastic functional differential equations on time scales. Finally, an example is presented to illustrate the feasibility and effectiveness of the results.
Keywords:
Neutral stochastic differential equation, Square-mean almost periodic solution, Exponential dichotomy, Krasnoselskii’s fixed point theorem, Time scale
Pages: 353-362 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #33 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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