ON THE EXISTENCE AND UNIQUNESS THEOREM OF THE GLOBAL SOLUTIONS FOR UFDES

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MANSOURI S.S.; Pazoki E.; Neyshabouri S.

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2022 | Volume:11 | Issue:1 Page(s): 107-119

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Title

ON THE EXISTENCE AND UNIQUNESS THEOREM OF THE GLOBAL SOLUTIONS FOR UFDES

Author(s)

MANSOURI S.S. | Pazoki E. | Neyshabouri S. | Issue Writer Certificate

Keywords

Uncertain Functional differential equation

Canonical process

Uncertainty space

Abstract

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 [t0, T][t0, 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 [t0, ∞ ].

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APA: Copy

MANSOURI, S.S., Pazoki, E., & Neyshabouri, S.. (2022). ON THE EXISTENCE AND UNIQUNESS THEOREM OF THE GLOBAL SOLUTIONS FOR UFDES. JOURNAL OF MAHANI MATHEMATICAL RESEARCH, 11(1), 107-119. SID. https://sid.ir/paper/979428/en

Vancouver: Copy

MANSOURI S.S., Pazoki E., Neyshabouri S.. ON THE EXISTENCE AND UNIQUNESS THEOREM OF THE GLOBAL SOLUTIONS FOR UFDES. JOURNAL OF MAHANI MATHEMATICAL RESEARCH[Internet]. 2022;11(1):107-119. Available from: https://sid.ir/paper/979428/en

IEEE: Copy

S.S. MANSOURI, E. Pazoki, and S. Neyshabouri, “ON THE EXISTENCE AND UNIQUNESS THEOREM OF THE GLOBAL SOLUTIONS FOR UFDES,” JOURNAL OF MAHANI MATHEMATICAL RESEARCH, vol. 11, no. 1, pp. 107–119, 2022, [Online]. Available: https://sid.ir/paper/979428/en

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