Boundedness of solutions of a nonlinear nonautonomous neutral delay equation

Yang Kuang, Alan Feldstein

Research output: Contribution to journal › Article

45 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)293-304
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume156
Issue number1
DOIs
StatePublished - Mar 15 1991

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Neutral Equation
Nonautonomous Equation
Boundedness of Solutions
Delay Equations
Population Model
Sufficient Conditions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Boundedness of solutions of a nonlinear nonautonomous neutral delay equation. / Kuang, Yang; Feldstein, Alan.

In: Journal of Mathematical Analysis and Applications, Vol. 156, No. 1, 15.03.1991, p. 293-304.

Research output: Contribution to journal › Article

Kuang, Y & Feldstein, A 1991, 'Boundedness of solutions of a nonlinear nonautonomous neutral delay equation', Journal of Mathematical Analysis and Applications, vol. 156, no. 1, pp. 293-304. https://doi.org/10.1016/0022-247X(91)90398-J
Kuang Y, Feldstein A. Boundedness of solutions of a nonlinear nonautonomous neutral delay equation. Journal of Mathematical Analysis and Applications. 1991 Mar 15;156(1):293-304. https://doi.org/10.1016/0022-247X(91)90398-J
Kuang, Yang ; Feldstein, Alan. / Boundedness of solutions of a nonlinear nonautonomous neutral delay equation. In: Journal of Mathematical Analysis and Applications. 1991 ; Vol. 156, No. 1. pp. 293-304.
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