研究了一類具有p-Laplacian算子的分?jǐn)?shù)階微分方程邊值問(wèn)題的多重正解.首先給出了格林函數(shù)及其性質(zhì),其次將邊值問(wèn)題轉(zhuǎn)化為與其等價(jià)的積分方程,最后利用錐壓縮錐拉伸不動(dòng)點(diǎn)定理和Leggett-Williams不動(dòng)點(diǎn)定理分別證明了邊值問(wèn)題一個(gè)及多個(gè)正解的存在性,并給出實(shí)例加以驗(yàn)證. 

【文章來(lái)源】：東北師大學(xué)報(bào)(自然科學(xué)版). 2020,52(03)北大核心

【文章頁(yè)數(shù)】：6 頁(yè)

【參考文獻(xiàn)】：
期刊論文
[1]POSITIVE SOLUTIONS TO m-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH p-LAPLACIAN[J]. Anping Chen～1,2,Yi Chen～1 (1.School of Math.and Computational Science,Xiangtan University,Xiangtan 411005,Hunan;2.Dept.of Math.,Xiangnan University,Chenzhou 423000,Hunan).  Annals of Differential Equations. 2011(04)



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