Global asymptotic behavior of the difference equation
β Scribed by I. Ozturk; F. Bozkurt; S. Ozen
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 386 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
In this work, we study the boundedness and the global asymptotic behavior of the solutions of the difference equation
where Ξ± and Ξ² are positive real numbers, k β {1, 2, . . .} and the initial conditions y -k , . . . , y -1 , y 0 are arbitrary numbers.
π SIMILAR VOLUMES
We investigate the global asymptotic behavior of solutions of the system of di erence equations xn+1 = xn a + cyn ; yn+1 = yn b + dxn ; n= 0; 1; : : : ; where the parameters a and b are in (0; 1), c and d are arbitrary positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative
A necessary and sufficient condition for the existence of a bounded nonoscillatory solution is given.
. This paper is concerned with a class of higher order nonlinear difference equations. Necessary and sufficient conditions are obtained for the differenece equation to admit the existence of nonoscillatory solutions with special asymptotic properties. Also, necessary and sufficient conditions for os