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Existence and Mann iterative approximations of nonoscillatory solutions of nth-order neutral delay differential equations
Authors:Zeqing Liu  Haiyan Gao
Affiliation:a Department of Mathematics, Liaoning Normal University, P.O. Box 200, Dalian, Liaoning 116029, People's Republic of China
b Kingbridge Business College, Dongbei University of Finance & Economics, Dalian, Liaoning 116600, People's Republic of China
c Department of Mathematics and The Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, South Korea
d The Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, South Korea
Abstract:In this paper we consider the following nth-order neutral delay differential equation:
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Keywords:nth-order neutral delay differential equation  Nonoscillatory solution  Infinitely many nonoscillatory solutions  Contraction mapping  Mann iterative sequence  Error estimate
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