Oscillation properties of nonlinear neutral differential equations of nth order

We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.

Bibliographic Details
Main Authors: T. Candan, R. S. Dahiya
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204406541
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spelling doaj-b08b84f07001450b98dfcefb312c5c072020-11-24T22:25:48ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004713893390010.1155/S0161171204406541Oscillation properties of nonlinear neutral differential equations of nth orderT. Candan0R. S. Dahiya1Department of Mathematics, Niğde University, Niğde 51200, TurkeyDepartment of Mathematics, Iowa State University, Ames 50011, IA, USAWe consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.http://dx.doi.org/10.1155/S0161171204406541
collection DOAJ
language English
format Article
sources DOAJ
author T. Candan
R. S. Dahiya
spellingShingle T. Candan
R. S. Dahiya
Oscillation properties of nonlinear neutral differential equations of nth order
International Journal of Mathematics and Mathematical Sciences
author_facet T. Candan
R. S. Dahiya
author_sort T. Candan
title Oscillation properties of nonlinear neutral differential equations of nth order
title_short Oscillation properties of nonlinear neutral differential equations of nth order
title_full Oscillation properties of nonlinear neutral differential equations of nth order
title_fullStr Oscillation properties of nonlinear neutral differential equations of nth order
title_full_unstemmed Oscillation properties of nonlinear neutral differential equations of nth order
title_sort oscillation properties of nonlinear neutral differential equations of nth order
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2004-01-01
description We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions.
url http://dx.doi.org/10.1155/S0161171204406541
work_keys_str_mv AT tcandan oscillationpropertiesofnonlinearneutraldifferentialequationsofnthorder
AT rsdahiya oscillationpropertiesofnonlinearneutraldifferentialequationsofnthorder
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