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Some new results for bounded and monotone properties of solutions of second-order quasi-linear forced difference equations

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成果类型:
期刊论文
作者:
Li, XY*;Zhu, DM
通讯作者:
Li, XY
作者机构:
[Li, XY] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China.
Nahua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Li, XY] E
E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China.
语种:
英文
关键词:
Bounded solution;Monotone;Quasi-linear forced difference equation
期刊:
Computers & Mathematics with Applications
ISSN:
0898-1221
年:
2004
卷:
47
期:
6-7
页码:
997-1009
基金类别:
Project by NNSF of China (Grant: 10071022), Mathematical Tianyuan Foundation of China (Grant: TY10026002-01-05-03), and Shanghai Priority Academic Discipline.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
Some new results are obtained for the bounded and monotone properties of solutions of second-order quasi-linear forced difference equations Δ(pn-1(Δyn-1)α) = q nynβ + rn, n ≥n 0, where n0 ∈N = {0, 1, 2, 3,... }, {p n}n=n0-1∞ is a positive sequence, {q n}n=n0∞ is a nonnegative real sequence with qn ≢0, {rn}n=n0∞ is a real sequence, and αand βare quotients of odd positive integers. Some errors in [1] are pointed out and addressed. Examples are given to illustrate the advantages of the new results. ©2004 Elsevier Ltd. All rig...

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