ON EXISTENCE OF POSITIVE SOLUTIONS AND BOUNDED OSCILLATIONS FOR NEUTRAL DIFFERENCE-EQUATIONS

被引:59
作者
LALLI, BS
ZHANG, BG
机构
关键词
D O I
10.1016/0022-247X(92)90342-B
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A criterion for the existence of a positive solution for the first order difference equation Δ(xn - cxn - m) + pnxn - k = 0, pn ≥ 0 is established. Results are also obtained for the oscillation and nonoscillation of solutions of a second order difference equation Δ2(xn - cxn - m) = pnxn - k, where the pn are either of constant sign or are oscillatory. Some of the results are sharp. © 1992.
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页码:272 / 287
页数:16
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