| 时间尺标上本征值问题的正解 |
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| 引用本文： | 胡良根. 时间尺标上本征值问题的正解[J]. 宁波大学学报(理工版), 2009, 22(4): 511-518 |
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| 作者姓名： | 胡良根 |
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| 作者单位： | 宁波大学理学院,浙江,宁波,315211 |
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| 基金项目： | Supported by the National Natural Science Foundation of China，Zhejiang Provincial Natural Science Foundation，Ningbo Natural Science Foundation，Subject Foundation of Ningbo University |
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| 摘 要： | 通过讨论本征值λ,考虑了时间尺度上三点边值问题正解的存在性与非存在性：u^Δ▽（t）＋λh（t）f（t,u（t））=0,t∈（0, t）∩T,βu（0）-γu^Δ（0）=0,αu（η）=u（T）,其中,T是时间尺度,β,γ≥0,β＋γ〉0,η∈（0,ρ（T））,0〈α0.此外,使用2个例子说明其结果.
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| 关 键 词： | 时间尺度 正解 本征值 不动点 |
Positive Solutions for Eigenvalue Problem with Time Scales |
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| HU Liang-gen. Positive Solutions for Eigenvalue Problem with Time Scales[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2009, 22(4): 511-518 |
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| Authors: | HU Liang-gen |
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| Affiliation: | HU Liang-gen ( Faculty of Science, Ningbo University, Ningbo 315211, China ) |
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| Abstract: | By exploring the values of the eigenvalue λ, this paper deals with the existence and nonexistence of positive solution for the following three-point boundary value problem with time scales:uΔ▽(t) + λh(t)f(t,u(t)) = 0,t ∈ (0,T) ∩ T,βu(0)-γuΔ(0)=0,αu(η)=u(T),where T is a time scale, β,γ≥0,β + γ>0,η∈(0,ρ(T)),0<α0 .Furthermore, two examples are presented for results verification purposes. |
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| Keywords: | time scales positive solution eigenvalues fixed points |
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