Periodic solutions for neutral nonlinear differential equations with functional delay

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dc.contributor.authorRaffoul, Youssef N.
dc.date.accessioned2021-01-27T19:17:30Z
dc.date.available2021-01-27T19:17:30Z
dc.date.issued2003-10-06
dc.description.abstractWe use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with functional delay x'(t) = -α(t)x(t) + c(t)x' (t - g(t)) + q(t, x(t), x(t - g(t)) <p>has a periodic solution. Also, by transforming the problem to an integral equation we are able, using the contraction mapping principle, to show that the periodic solution is unique.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationRaffoul, Y. N. (2003). Periodic solutions for neutral nonlinear differential equations with functional delay. <i>Electronic Journal of Differential Equations, 2003</i>(102), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13153
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectKrasnoselskii
dc.subjectNeutral
dc.subjectNonlinear
dc.subjectIntegral equations
dc.subjectPeriodic solutions
dc.subjectUnique solutions
dc.titlePeriodic solutions for neutral nonlinear differential equations with functional delay
dc.typeArticle

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