A class of neutral type nonlinear difference equations is studied. We show that eventually positive solutions either converge to zero, to positive constants, or to positive infinity. Sufficient conditions are then provided for the existence of these solutions. Partial converses are also given.
โฆ LIBER โฆ
Convergence of solutions for a class of neutral difference equations
โ Scribed by B.X. Dai; L.H. Huang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 396 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
where k is a positive integer, 0 < c < 1, V denotes the backward difference operator Vyn ---yn -Yn-1, f : N x R 2 --* R is continuous and decreasing with respect to the second argument. We give the results that solutions of the equation convergent to constants.
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