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Oscillations of a class of difference equations with continuous arguments

โœ Scribed by B.G. Zhang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
283 KB
Volume
14
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This paper 1s concerned with the dtierence equations of the form y(t) -y(t-7) +p(t)Y(t-(Tl)q(t)y(t -02) = 0

๐Ÿ“œ SIMILAR VOLUMES

The oscillation of partial difference eq
The oscillation of partial difference equations with continuous arguments
โœ Sung Kyu Choi; Nam Jip Koo; Binggen Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 338 KB

For the partial difference equations ## A(x -a, y) -F A(x, y -b) -A(x, y) + P(x, y)A(x + T, y + a) = 0 and A(x -a, y) + A(x, y -b) -A(x, y) ~-f(x, y, A(x T โ€ข, y + q)) = O, we shall obtain sufficient conditions for the oscillation of all solutions of these equations. (~) 2001 Elsevier Science Ltd.

Oscillation of linear difference equatio
Oscillation of linear difference equations with deviating arguments
โœ R. Koplatadze ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 340 KB

The tollowing difference equation with deviating arguments: ) is a sequence of nonnegative numbers, ~rj : N ---+ N and limk--++oo crj(k) = +oc (j = 1,..., m). In the paper, sufficient conditions are established for all proper solutions of the above equation to be oscillatory.

Existence of positive periodic solutions
Existence of positive periodic solutions for a class of difference equations with several deviating arguments
โœ Daqing Jiang; R.P. Agarwal ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 367 KB

In this paper, we employ the Mawhin continuation theorem to study the existence of positive periodic solutions for a kind of nonautonomous difference equation with several deviating arguments. Applying the general theorems established to several biomathematical models, we obtain some new results.

Oscillation criteria of a class of parti
Oscillation criteria of a class of partial difference equations with delays
โœ B.G. Zhang; C.J. Tian ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 601 KB

This paper is concerned with the linear delay partial difference equation aAm+l,n+l ~ bAm+l,n ~ cAm,n+1 -dAm,n ~-pm,nAm-a,n-~" = O, where a and ~-are two nonnegative integers, a, b, c, and d are positive constants, and {Pl,j}, i,j ~ No is a double real sequence. Sufficient conditions for this equati