帶變號G reen函數的三階三點邊值問題的正解

張富娟

(蘭州理工大學理學院,甘肅蘭州 730050)

帶變號G reen函數的三階三點邊值問題的正解

張富娟

(蘭州理工大學理學院,甘肅蘭州 730050)

運用Guo-K rasnoselskii不動點定理,在相應的Green函數變號的情況下,建立了三階常微分方程三點邊值問題至少存在兩個正解的若干存在性準則.

三階三點邊值問題;正解;存在性;錐;變號Green函數

DO I：10.3969/j.issn.1008-5513.2013.05.015

1 引言

2 預備知識

3 主要結果

參考文獻

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Positive so lu tions for a th ird-order th ree-point boundary value p rob lem w ith sign-changing G reen′s function

Zhang Fujuan

(School of Science,Lanzhou University of Technology,Lanzhou 730050,China)

By using the Guo-K rasnoselskii fxed-point theorem,some existence criteria of at least two positive solutions are established for a three-point boundary value p rob lem of third-order ordinary dif erential equation under the condition that the corresponding Green′s function is sign-changing.

third-order th ree-point boundary value prob lem,positive solu tion,existence,cone, sign-changing G reen′s function

O175

A

1008-5513(2013)05-0544-07

2013-07-16.

張富娟(1986-),碩士生,研究方向：應用微分方程.

2010 MSC:34B15