Stability and boundedness in multi delay vector Liénard equation | Zendy

Cemil Tunς | Zendy

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Stability and boundedness in multi delay vector Liénard equation

Author(s) -

Cemil Tunς

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1303435t

Subject(s) - mathematics , stability (learning theory) , liénard equation , zero (linguistics) , work (physics) , functional equation , mathematical analysis , control theory (sociology) , differential equation , first order partial differential equation , control (management) , exact differential equation , computer science , mechanical engineering , machine learning , artificial intelligence , engineering , linguistics , philosophy

In this paper, we consider a vector Li´ enard equation with the multiple deviating arguments. Based on the Lyapunov-Krasovskii functional approach, the asymptotic stability of the zero solution and the boundedness of all solutions are discussed. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here.

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