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Siya Mansouri, Samira, Pazoki, Elham, Neyshabouri, Samaneh. (1400). On the existence and uniquness theorem of the global solutions for UFDES. , 11(1), 107-119. doi: 10.22103/jmmrc.2021.17508.1142
Samira Siya Mansouri; Elham Pazoki; Samaneh Neyshabouri. "On the existence and uniquness theorem of the global solutions for UFDES". , 11, 1, 1400, 107-119. doi: 10.22103/jmmrc.2021.17508.1142
Siya Mansouri, Samira, Pazoki, Elham, Neyshabouri, Samaneh. (1400). 'On the existence and uniquness theorem of the global solutions for UFDES', , 11(1), pp. 107-119. doi: 10.22103/jmmrc.2021.17508.1142
Siya Mansouri, Samira, Pazoki, Elham, Neyshabouri, Samaneh. On the existence and uniquness theorem of the global solutions for UFDES. , 1400; 11(1): 107-119. doi: 10.22103/jmmrc.2021.17508.1142

On the existence and uniquness theorem of the global solutions for UFDES

Journal of Mahani Mathematical Research
دوره 11، شماره 1 - شماره پیاپی 21، فروردین 2022، صفحه 107-119    اصل مقاله (484.5 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.17508.1142
نویسندگان
Samira Siya Mansouri* 1؛ Elham Pazoki2؛ Samaneh Neyshabouri2
1University of applied sciences and technology of centre Mahan Hedayat, Iran
2Department of mathematics, Qazvin branch, Islamic Azad University, Qazvin, Iran.
چکیده
The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and technology. In this paper, we prove an existence and uniqueness theorem for IUFDE intheinterval $[t_{0},T]$, underuniform Lipschitz condition and weak condition. Also, the novel existence and uniqueness theorem under the linear growth condition and the local Lipschitz condition is proven. In the following, a more general type of UFDE considers, which the future state is determined by entire of the past states rather than some of them. Finally, the existence and uniqueness theorem is considered on theinterval $[t_{0},\infty ]$.
کلیدواژه‌ها
Uncertain Functional differential equation؛ Canonical process؛ Uncertainty space
مراجع
[1] X. Chen, X. Qin. A new existence and uniqueness theorem for fuzzy di erential equations. International Journal of Fuzzy Systems vol., no. 13(2) (2013) 148-151.

[2] Y. Gao. Existence and Uniqueness Theorem on Uncertain Di erential Equations with Local Lipschitz Condition, Journal of Uncertain Systems vol., no. 6(3) (2012) 223-232.

[3] W. Fei. Uniqueness of solutions to fuzzy di erential equations driven by Lius process with non-Lipschitz coecients, Internatinal Confrance On Fuzzy and Knowledge Discovery (2009) 565-569.

[4] Y. Gao. Existence and uniqueness theorem on uncertain di erential equation with local Lipschitz codition, Uncertain Syst., vol., no. 6(3) (2012) 223-232.

[5] B. Liu. Uncertainty Theory, Springer-Verlag. Berlin ( 2004).

[6] K. Yao. A type of uncertain di erential equations with an alytic solution, J. Uncertain. Anal. Appl., vol., no. 8(1) (2013).

[7] Y. Zhu. Uncertain optimal control with application to a portfolio selection model, Cybernet. Syst vol., no. 41(7) (2010) 535-547.

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