Open AccessOscillation Criteria for Third-order Nonlinear Neutral Differential Equations with Distributed Deviating Arguments
Author(s) -
Cuimei Jiang,
Tongxing Li
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.12.22
Subject(s) - mathematics , oscillation (cell signaling) , nonlinear system , order (exchange) , third order , mathematical analysis , differential equation , physics , economics , political science , finance , quantum mechanics , genetics , law , biology
The aim of this paper is to investigate the oscillation and asymptotic behavior of a class of thirdorder nonlinear neutral differential equations with distributed deviating arguments. By means of Riccati transformation technique and some inequalities, we establish several sufficient conditions which ensure that every solution of the studied equation is either oscillatory or converges to zero. Two examples are provided to illustrate the main results. c ©2016 All rights reserved.
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