Boundedness of solutions of a nonlinear nonautonomous neutral delay equation

Yang Kuang; Alan Feldstein

doi:10.1016/0022-247X(91)90398-J

Boundedness of solutions of a nonlinear nonautonomous neutral delay equation

Yang Kuang, Alan Feldstein

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation x ̇(t) = r(t) x(t)(a(t) - x(t - 1) - c(t) x ̇(t - 1)), which arise in a "food-limited" population model. This partially answers a recent open question proposed by K. Gopalsamy and B. G. Zhang.

Original language	English (US)
Pages (from-to)	293-304
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	156
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(91)90398-J
State	Published - Mar 15 1991

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation x{\. }(t) = r(t) x(t)(a(t) - x(t - 1) - c(t) x{\. }(t - 1)), which arise in a {"}food-limited{"} population model. This partially answers a recent open question proposed by K. Gopalsamy and B. G. Zhang.",

author = "Yang Kuang and Alan Feldstein",

note = "Funding Information: research of this author was partially supported by a Faculty Grant-in-Aid Summer Research Award at Arizona State University. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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AU - Feldstein, Alan

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PY - 1991/3/15

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N2 - Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation x ̇(t) = r(t) x(t)(a(t) - x(t - 1) - c(t) x ̇(t - 1)), which arise in a "food-limited" population model. This partially answers a recent open question proposed by K. Gopalsamy and B. G. Zhang.

AB - Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation x ̇(t) = r(t) x(t)(a(t) - x(t - 1) - c(t) x ̇(t - 1)), which arise in a "food-limited" population model. This partially answers a recent open question proposed by K. Gopalsamy and B. G. Zhang.

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Boundedness of solutions of a nonlinear nonautonomous neutral delay equation

Abstract

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