On stability of nonlinear neutral functional differential equations

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

doi:10.1051/cocv/2016075

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.

ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 89-104.

Résumé

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.

Reçu le : 2016-05-04
Accepté le : 2016-12-06

MR Zbl

DOI : 10.1051/cocv/2016075

Classification : 34K20
Mots-clés : Functional differential equation, neutral equation, exponential stability

Affiliations des auteurs :

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

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     title = {On stability of nonlinear neutral functional differential equations},
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     pages = {89--104},
     publisher = {EDP-Sciences},
     volume = {24},
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     zbl = {1410.34220},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv/2016075/}
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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. http://www.numdam.org/articles/10.1051/cocv/2016075/

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