Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Ray Redheffer"'
Autor:
Ray Redheffer, Richard R. Vance
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 43, Pp 2747-2758 (2003)
We give conditions under which two solutions x and y of the Kolmogorov equation x˙=xf(t,x) satisfy limy(t)/x(t)=1 as t→∞. This conclusion is important for two reasons: it shows that the long-time behavior of the population is independent of the
Externí odkaz:
https://doaj.org/article/2769e648d139434e9c8a2a38539512f9
Autor:
Ray Redheffer
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 32, Iss 2, Pp 73-80 (2002)
Several recent results pertaining to nonlinear equations of ecology are applied to a generalization of the Turner-Bradley-Kirk-Pruitt (TBKP) equation, which illustrates a variety of interesting possibilities as regards persistence and extinction. The
Externí odkaz:
https://doaj.org/article/658edce3e02d4d42b3eeca908aa6bb39
Autor:
Ray Redheffer
Publikováno v:
Demonstratio Mathematica. 39:131-136
Autor:
Ray Redheffer
Publikováno v:
Demonstratio Mathematica. 38:59-68
Autor:
Gerd Herzog, Ray Redheffer
Publikováno v:
Nonlinear Analysis: Real World Applications. 5:33-44
Remarks on positivity of certain vector-valued functions are applied to the SEIRS equations for infectious disease and to a nonlinear system recently introduced in connection with cell biology by Dr. Dennis Thron. In both cases the formerly constant
Autor:
Ray Redheffer
Publikováno v:
Nonlinear Analysis: Real World Applications. 4:301-306
This paper is concerned with a nonautonomous version of the well-known May-Leonard system, that is, a system like theirs but with time-varying rather than constant coefficients. One consequence of their work is that the solution x exhibits partial su
Publikováno v:
The Prostate. 54:88-94
BACKGROUND PSA doubling time (PSADT) can predict the likelihood of clinical progression in patients with biochemical relapse after surgery or radiation for prostate cancer. Changes in PSA doubling time in response to therapy may be of clinical or inv
Autor:
Ray Redheffer
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 46:1151-1164
Publikováno v:
Journal of Mathematical Analysis and Applications. 252(2):989-993
We extend Hardy's discrete inequality to multiple series. For an r -fold series the correct constant is ( c p ) r , where c p is the constant in Hardy's original theorem. This constant is optimum and the inequality is strict unless all variables in i
Autor:
Ray Redheffer
Publikováno v:
Journal of Mathematical Biology. 40:295-320
An interesting paper of Vance and Coddington concerning the scalar equation x = xf(t, x) is improved by a drastic weakening of the assumptions. Surprising as it may seem, this weakening simplifies the analysis and leads to stronger conclusions. An ex