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Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation i(t)=r(f)x(t)(a(f)-.x(t-1)-c(/).?(t-1)), which arise in a " food-limited " population model. This partially answers a recent open question proposed The nonlinear neutral delay logistic equation was first introduced and extensively discussed… (More)

- Alan Feldstein, Richard Goodman
- J. ACM
- 1976

This paper analyzes the distribution of trailing digits (tail end digits) of positive real floating-point numbers represented in arbitrary base <italic>β</italic> and randomly chosen from a logarithmic distribution. The analysis shows that the <italic>n</italic>th digit for <italic>n</italic> ≥ 2 is actually approximately uniformly distributed.… (More)

- Author Z. Jackiewicz, R. Renaut, A. Feldstein
- 1991

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Society for… (More)

- Joaquín Bustoz, Alan Feldstein, Richard Goodman, Seppo Linnainmaa
- J. ACM
- 1979

New results are given on the distribution of trailing digits for logarithmically distributed numbers and on error in floating-point multiplication Some of the results have application to computer design In particular, there are certain values of the base (indeed,/3 = 2, 4, 6, and sometimes 8, but NOT 16) which, when carefully balanced with other design… (More)

- Yang Kuangt, Alan Feldstein, N Under

This paper is devoted to the discussion of monotonic and oscillatory solutions of the linear neutral delay equation M N y'(t)=Ay(t)+ Y. Biy(Ait)+ Z Ciy'(Tqit), one set of conditions, all nontrivial solutions are absolutely monotone. Under a different set of conditions, all nontrivial solutions oscillate unboundedly. This resolves most parts of the… (More)

- Alan Feldstein, Roger M. Firestone
- ACM '69
- 1969

The following question is investigated: Is it possible for the function composition of Hermite interpolatory iteration algorithms to result in an increase in the Ostrowski efficiency? A detailed investigation is carried out to discover those cases when the answer is yes. Several interesting, new algorithms are uncovered. Each has a theoretical efficiency… (More)

- Richard Goodman, Alan Feldstein
- Computing
- 1977

This paper deals with an initial value problem of a neutral functional diierential equation with variable time delay. The eeect of the neutral term on the existence and uniqueness of solutions is investigated. A comparison theorem is given and is applied to the Shabat equation. The asymptotic behaviour of solutions of a linear perturbation of the… (More)

- Alan Feldstein, Carolyn K. Grafton
- ACM '68
- 1968

As shown by the ACM Symposium on Interactive Systems for Experimental Applied Mathematics (held in conjunction with the 1967 National Conference), the subject of experimental mathematics is. a timely one. The author's propose in this paper to discuss their partial success in an experimental study of linear retarded ordinary differential equations (hereafter… (More)

- Richard Goodman, Alan Feldstein, Joaquín Bustoz
- Computing
- 1985