| 渐近线性二阶半正离散边值问题正解的分歧结构 |
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| 引用本文： | 张露,马如云. 渐近线性二阶半正离散边值问题正解的分歧结构[J]. 山东大学学报(自然科学版), 2014, 0(3): 79-83 |
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| 作者姓名： | 张露 马如云 |
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| 作者单位： | 西北师范大学数学与统计学院,甘肃 兰州730070 |
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| 基金项目： | 国家自然科学基金资助项目（11061030） |
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| 摘 要： | 在非线性项满足渐近线性增长条件下,研究了二阶半正离散边值问题-Δ2u（t-1）=λf（t,u（t））, t∈[1,T]Z,αu（0）-βΔu（0）=0,γu（T）＋δΔu（T）=0{正解的存在性,其中λ＆gt;0为参数, f：[1,T] Z × R＋→R连续,主要结果的证明基于分歧理论及拓扑度理论。
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| 关 键 词： | 分歧理论 正解 拓扑度 Sturm-Liouville边界条件 半正问题 |
Bifurcation structure of asymptotically linear second-order semipositone discrete boundary value problem |
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| ZHANG Lu,MA Ru-yun. Bifurcation structure of asymptotically linear second-order semipositone discrete boundary value problem[J]. Journal of Shandong University(Natural Science Edition), 2014, 0(3): 79-83 |
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| Authors: | ZHANG Lu MA Ru-yun |
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| Affiliation: | ( College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China) |
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| Abstract: | It is studied that the existence of positive solutions of second-order semipositone discrete boundary value problem with the nonlinearity satisfies asymptotically linear conditions,-Δ2u（t-1） =λf（t,u（t））, t∈[1,T]Z,αu（0） -βΔu（0） =0,γu（T） ＋δΔu（T） =0,{where λ is a positive parameter, f：[1,T] Z × R＋→R is continuous, The proofs of the main results are based on the to-pological degree techniques and bifurcation theory. |
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| Keywords: | bifurcation theory positive solutions topological degree Sturm-Liouville boundary value conditions semipositone problem |
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