OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS | Zendy

Yibing Sun | Zendy; Yige Zhao | Zendy

Open Access

OSCILLATION AND ASYMPTOTIC BEHAVIOR OF THIRD-ORDER NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS

Author(s) -

Yibing Sun,

Yige Zhao

Publication year - 2018

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 - 10.11948/2018.1796

Subject(s) - oscillation (cell signaling) , mathematics , nonlinear system , delay differential equation , mathematical analysis , differential equation , class (philosophy) , transformation (genetics) , order (exchange) , riccati equation , zero (linguistics) , control theory (sociology) , physics , computer science , biochemistry , chemistry , philosophy , finance , control (management) , quantum mechanics , artificial intelligence , gene , economics , biology , linguistics , genetics

This paper concerns the oscillation and asymptotic behavior of a class of third-order nonlinear neutral delay differential equations with distributed deviating arguments. By employing a generalized Riccati transformation and integral averaging technique, we establish some sufficient conditions to ensure that all solutions of the considered equations are either oscillatory or converge to zero, which extend and improve some known results in the literature.

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