ON SOME QUALITATIVE BEHAVIORS OF CERTAIN DIFFERENTIAL EQUATIONS OF FOURTH ORDER WITH MULTIPLE RETARDATIONS | Zendy

Erdal Korkmaz | Zendy; Cemil Tunç | Zendy

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ON SOME QUALITATIVE BEHAVIORS OF CERTAIN DIFFERENTIAL EQUATIONS OF FOURTH ORDER WITH MULTIPLE RETARDATIONS

Author(s) -

Erdal Korkmaz,

Cemil Tunç

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016026

Subject(s) - mathematics , exponential stability , stability (learning theory) , differential equation , order (exchange) , qualitative analysis , mathematical analysis , computer science , qualitative research , nonlinear system , economics , physics , sociology , social science , finance , quantum mechanics , machine learning

In this paper, we give sufficient conditions to guarantee the asymptotic stability and boundedness of solutions to a kind of fourth-order functional differential equations with multiple retardations. By using the LyapunovKrasovskii functional approach, we establish two new results on the stability and boundedness of solutions, which include and improve some related results in the literature.

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