張富娟

(蘭州理工大學(xué)理學(xué)院,甘肅蘭州 730050)

帶變號(hào)G reen函數(shù)的三階三點(diǎn)邊值問題的正解

張富娟

(蘭州理工大學(xué)理學(xué)院,甘肅蘭州 730050)

運(yùn)用Guo-K rasnoselskii不動(dòng)點(diǎn)定理,在相應(yīng)的Green函數(shù)變號(hào)的情況下,建立了三階常微分方程三點(diǎn)邊值問題至少存在兩個(gè)正解的若干存在性準(zhǔn)則.

三階三點(diǎn)邊值問題;正解;存在性;錐;變號(hào)Green函數(shù)

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

1 引言

2 預(yù)備知識(shí)

3 主要結(jié)果

參考文獻(xiàn)

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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(yīng)用微分方程.

2010 MSC:34B15