Geodesic
On stability of nonlinear neutral functional differential equations
Anh Ngoc, Pham Huu1 ; Tran, Thai Bao2 ; Tinh, Cao Thanh3
1 Department of Mathematics, Vietnam National University-HCMC, International University, Sai Gon, Vietnam.
2 Department of Information Systems, Vietnam national university-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam.
3 Department of Mathematics, Vietnam national university-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 89-104

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We address the challenging problem of the exponential stability of nonlinear time-varying functional differential equations of neutral type. By a novel approach, we present explicit sufficient conditions for the exponential stability of nonlinear time-varying neutral functional differential equations. A discussion of the obtained results and illustrative examples are given.

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DOI : 10.1051/cocv/2016075
Classification : 34K20
Keywords: Functional differential equation, neutral equation, exponential stability

Anh Ngoc, Pham Huu 1 ; Tran, Thai Bao 2 ; Tinh, Cao Thanh 3

1 Department of Mathematics, Vietnam National University-HCMC, International University, Sai Gon, Vietnam.
2 Department of Information Systems, Vietnam national university-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam.
3 Department of Mathematics, Vietnam national university-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam. 
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     title = {On stability of nonlinear neutral functional differential equations},
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Anh Ngoc, Pham Huu; Tran, Thai Bao; Tinh, Cao Thanh. On stability of nonlinear neutral functional differential equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 89-104. doi: 10.1051/cocv/2016075

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