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Xianlong Fu, Ming Li (2014)
Studia Mathematica
By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.
Tsvetkov, Dimitar (1995)
Serdica Mathematical Journal
In this paper we present a spectral criterion for existence of mean-periodic solutions of retarded functional differential equations with a time-independent main part.
Banibrata Mukhopadhyay, Rakhi Bhattacharyya (2010)
Applications of Mathematics
We consider a mathematical model of nutrient-autotroph-herbivore interaction with nutrient recycling from both autotroph and herbivore. Local and global stability criteria of the model are studied in terms of system parameters. Next we incorporate the time required for recycling of nutrient from herbivore as a constant discrete time delay. The resulting DDE model is analyzed regarding stability and bifurcation aspects. Finally, we assume the recycling delay in the oscillatory form to model the...
Shu, Xiao-Bao, Xu, Yuan-Tong (2006)
Abstract and Applied Analysis
Shu, Xiao-Bao, Xu, Yuan-Tong (2005)
International Journal of Mathematics and Mathematical Sciences
Hao, Zhao-Cai, Xiao, Ti-Jun, Liang, Jin (2009)
Discrete Dynamics in Nature and Society
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