On stability of nonlinear neutral functional differential equations
ESAIM: Control, Optimisation and Calculus of Variations, Volume 24 (2018) no. 1, pp. 89-104.

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.

Received:
Accepted:
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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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, Volume 24 (2018) no. 1, pp. 89-104. doi : 10.1051/cocv/2016075. http://archive.numdam.org/articles/10.1051/cocv/2016075/

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