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The global attractivity of difference equations of nonincreasing nonlinearities with applications

โœ Scribed by H.A. El-Morshedy

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
703 KB
Volume
45
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

The global attractivity of the unique positive equilibrium of the equation zn+i = d%-kI,%-k~,.

. ,%-k,h n = 0, 1,2,. , is investigated where g is a nonincreasing continuous function in each of its arguments and the k are positive integers. We are able to use our results to extract some important global attractivity criteria of the positive equilibria of the discrete Clark model z,,+r = CYZ,, + f(&_k) and the rational recursive sequence zn+i = (a + bzn)/(A + %-I) as well.

๐Ÿ“œ SIMILAR VOLUMES

Global attractivity for a nonlinear diff
Global attractivity for a nonlinear difference equation with variable delay
โœ H. Matsunaga; T. Hara; S. Sakata ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

In this paper, we give sufficient conditions under which every solution of the nonlinear difference equation with variable delay tends to zero as n --+ c<). Here, {Pn} is a nonnegative sequence, f : R --+ R is a continuous function with xf(x) > 0 if x ~ 0, and g : N --~ Z is nondecreasing and satis