Local extrema of positive solutions of nonlinear functional differential equations

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dc.contributor.authorChatzarakis, George
dc.contributor.authorHorvat Dmitrovic, Lana
dc.contributor.authorPasic, Mervan
dc.date.accessioned2022-03-07T17:29:55Z
dc.date.available2022-03-07T17:29:55Z
dc.date.issued2018-08-31
dc.description.abstractWe study the positive solutions of a general class of second-order functional differential equations, which includes delay, advanced, and delay-advanced equations. We establish integral conditions on the coefficients on a given bounded interval J such that every positive solution has a local maximum in J. Then, we use the connection between that integral condition and Rayleigh quotient to get a sufficient condition that is easier to be applied. Several examples are provided to demonstrate the importance of our results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChatzarakis, G. E., Horvat Dmitrović, L., & Pasic, M. (2018). Local extrema of positive solutions of nonlinear functional differential equations. <i>Electronic Journal of Differential Equations, 2018</i>(158), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15452
dc.language.isoen
dc.publisherTexas 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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFunctional differential equations
dc.subjectLocal non-monotonicity
dc.subjectIntegral criteria
dc.subjectRayleigh quotient
dc.subjectDelay
dc.subjectAdvance
dc.subjectSuper-sub linear nonlinearity
dc.titleLocal extrema of positive solutions of nonlinear functional differential equations
dc.typeArticle

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