Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation
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Authors
Teng Ren
- School of Logistics and Transportation, Central South University of Forestry and Technology, Changsha 410004, China.
Sidi Li
- School of Tourism Management, Central South University of Forestry and Technology, Changsha 410004, China.
Xinguang Zhang
- School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, Shandong, China.
- Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia.
Abstract
In this paper, we establish the positive bounded solutions for a changing-sign periodic perturbed differential system with
weak singularity in eco-economic and other applied fields. The conditions for the existence of solution are established for the
positive, negative and semipositone cases of nonlinear term, and the perturbation is allowed to be a singular and changing-sign
\(L^1(0, T)\) function.
Share and Cite
ISRP Style
Teng Ren, Sidi Li, Xinguang Zhang, Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2539--2549
AMA Style
Ren Teng, Li Sidi, Zhang Xinguang, Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation. J. Nonlinear Sci. Appl. (2017); 10(5):2539--2549
Chicago/Turabian Style
Ren, Teng, Li, Sidi, Zhang, Xinguang. "Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2539--2549
Keywords
- Weak singularity
- bounded solutions
- sign-changing perturbation
- periodic problems
- eco-economical system.
MSC
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