THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS
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Wang, Na
[1
]
Ni, Mingkang
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E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
SJTU, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200030, Peoples R ChinaShanghai Inst Technol, Dept Appl Math, Shanghai 201418, Peoples R China
Ni, Mingkang
[2
,3
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机构:
[1] Shanghai Inst Technol, Dept Appl Math, Shanghai 201418, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[3] SJTU, Shanghai Univ E Inst, Div Computat Sci, Shanghai 200030, Peoples R China
In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.
机构:
Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, IranFerdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran
Ghomanjani, F.
Kilicman, A.
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Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, MalaysiaFerdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran
Kilicman, A.
Ghassabzade, F. Akhavan
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Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, IranFerdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, Mashhad, Iran