2009
DOI: 10.1590/s1807-03022009000200005
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The bounded solutions to nonlinear fifth-order differential equations with delay

Abstract: Abstract.In this paper, we improve some boundedness results, which have been obtained with respect to nonlinear differential equations of fifth order without delay, to a certain functional differential equation with constant delay. We give an illustrative example and also verify our main result by means of Liaponov tecnique.Mathematical subject classification: 34K20.

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(2 citation statements)
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“…Due to its numerous applications to issues in control theory, chemistry, physics, information theory and mechanics, second-order linear and nonlinear delay differential equations (DDEs) have been the subject of extensive study about their QP, for example, [29,33,37], etc.…”
Section: Introductionmentioning
confidence: 99%
“…Due to its numerous applications to issues in control theory, chemistry, physics, information theory and mechanics, second-order linear and nonlinear delay differential equations (DDEs) have been the subject of extensive study about their QP, for example, [29,33,37], etc.…”
Section: Introductionmentioning
confidence: 99%
“…In particular in 2010 Tunç [29] obtained sufficient conditions, which ensure the stability of the zero solution of a nonlinear delay differential equation of fifth-order…”
Section: Introductionmentioning
confidence: 99%